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Finding the Fourth Proportional to 165.95, 250.10 and 139.16

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Solution

The fourth proportional to 165.95, 250.10 and 139.16 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.95 : 250.10 = 139.16 : x
  2. Step 2: Convert to fraction form
    165.95/250.10 = 139.16/x
  3. Step 3: Cross multiply
    165.95x = 250.10 × 139.16
  4. Step 4: Simplify right side
    165.95x = 34,801.97
  5. Step 5: Solve for x
    x = 34,801.97/165.95
  6. Step 6: Final answer
    x = 209.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.