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Finding the Fourth Proportional to 414.31, 621.65 and 157.75

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Solution

The fourth proportional to 414.31, 621.65 and 157.75 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.31 : 621.65 = 157.75 : x
  2. Step 2: Convert to fraction form
    414.31/621.65 = 157.75/x
  3. Step 3: Cross multiply
    414.31x = 621.65 × 157.75
  4. Step 4: Simplify right side
    414.31x = 98,065.29
  5. Step 5: Solve for x
    x = 98,065.29/414.31
  6. Step 6: Final answer
    x = 236.70

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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.