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Finding the Fourth Proportional to 157.38, 235.62 and 99.42

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Solution

The fourth proportional to 157.38, 235.62 and 99.42 is: 148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 235.62 = 99.42 : x
  2. Step 2: Convert to fraction form
    157.38/235.62 = 99.42/x
  3. Step 3: Cross multiply
    157.38x = 235.62 × 99.42
  4. Step 4: Simplify right side
    157.38x = 23,425.34
  5. Step 5: Solve for x
    x = 23,425.34/157.38
  6. Step 6: Final answer
    x = 148.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.