Home / 401.24-602.22-209

Finding the Fourth Proportional to 401.24, 602.22 and 209

Calculator

Solution

The fourth proportional to 401.24, 602.22 and 209 is: 313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 602.22 = 209 : x
  2. Step 2: Convert to fraction form
    401.24/602.22 = 209/x
  3. Step 3: Cross multiply
    401.24x = 602.22 × 209
  4. Step 4: Simplify right side
    401.24x = 125,863.98
  5. Step 5: Solve for x
    x = 125,863.98/401.24
  6. Step 6: Final answer
    x = 313.69

Related Problems

Find fourth proportional to 200.62, 301.11 and 104.50
Half scale
Find fourth proportional to 802.48, 1,204.44 and 418
Double scale
Find fourth proportional to 402.24, 603.72 and 210
Similar ratio
Find fourth proportional to 601.86, 903.33 and 313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.