Home / 204.60-282.24-165.72

Finding the Fourth Proportional to 204.60, 282.24 and 165.72

Calculator

Solution

The fourth proportional to 204.60, 282.24 and 165.72 is: 228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.60 : 282.24 = 165.72 : x
  2. Step 2: Convert to fraction form
    204.60/282.24 = 165.72/x
  3. Step 3: Cross multiply
    204.60x = 282.24 × 165.72
  4. Step 4: Simplify right side
    204.60x = 46,772.81
  5. Step 5: Solve for x
    x = 46,772.81/204.60
  6. Step 6: Final answer
    x = 228.61

Related Problems

Find fourth proportional to 102.30, 141.12 and 82.86
Half scale
Find fourth proportional to 409.20, 564.48 and 331.44
Double scale
Find fourth proportional to 205.60, 283.62 and 166.72
Similar ratio
Find fourth proportional to 306.90, 423.36 and 248.58
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.