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Finding the Fourth Proportional to 157.66, 236.57 and 66.42

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Solution

The fourth proportional to 157.66, 236.57 and 66.42 is: 99.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 236.57 = 66.42 : x
  2. Step 2: Convert to fraction form
    157.66/236.57 = 66.42/x
  3. Step 3: Cross multiply
    157.66x = 236.57 × 66.42
  4. Step 4: Simplify right side
    157.66x = 15,713.02
  5. Step 5: Solve for x
    x = 15,713.02/157.66
  6. Step 6: Final answer
    x = 99.66

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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.