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Finding the Fourth Proportional to 404.31, 606.19 and 157.38

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Solution

The fourth proportional to 404.31, 606.19 and 157.38 is: 235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.31 : 606.19 = 157.38 : x
  2. Step 2: Convert to fraction form
    404.31/606.19 = 157.38/x
  3. Step 3: Cross multiply
    404.31x = 606.19 × 157.38
  4. Step 4: Simplify right side
    404.31x = 95,402.18
  5. Step 5: Solve for x
    x = 95,402.18/404.31
  6. Step 6: Final answer
    x = 235.96

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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.