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Finding the Fourth Proportional to 465.90, 698.42 and 177.14

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Solution

The fourth proportional to 465.90, 698.42 and 177.14 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 698.42 = 177.14 : x
  2. Step 2: Convert to fraction form
    465.90/698.42 = 177.14/x
  3. Step 3: Cross multiply
    465.90x = 698.42 × 177.14
  4. Step 4: Simplify right side
    465.90x = 123,718.12
  5. Step 5: Solve for x
    x = 123,718.12/465.90
  6. Step 6: Final answer
    x = 265.55

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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.