Home / 364.41-502.89-209.16

Finding the Fourth Proportional to 364.41, 502.89 and 209.16

Calculator

Solution

The fourth proportional to 364.41, 502.89 and 209.16 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 502.89 = 209.16 : x
  2. Step 2: Convert to fraction form
    364.41/502.89 = 209.16/x
  3. Step 3: Cross multiply
    364.41x = 502.89 × 209.16
  4. Step 4: Simplify right side
    364.41x = 105,184.47
  5. Step 5: Solve for x
    x = 105,184.47/364.41
  6. Step 6: Final answer
    x = 288.64

Related Problems

Find fourth proportional to 182.21, 251.45 and 104.58
Half scale
Find fourth proportional to 728.82, 1,005.78 and 418.32
Double scale
Find fourth proportional to 365.41, 504.27 and 210.16
Similar ratio
Find fourth proportional to 546.62, 754.34 and 313.74
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.