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Finding the Fourth Proportional to 465.31, 698.07 and 157.17

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Solution

The fourth proportional to 465.31, 698.07 and 157.17 is: 235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.31 : 698.07 = 157.17 : x
  2. Step 2: Convert to fraction form
    465.31/698.07 = 157.17/x
  3. Step 3: Cross multiply
    465.31x = 698.07 × 157.17
  4. Step 4: Simplify right side
    465.31x = 109,715.66
  5. Step 5: Solve for x
    x = 109,715.66/465.31
  6. Step 6: Final answer
    x = 235.79

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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.