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Finding the Fourth Proportional to 157.13, 216.85 and 91.64

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Solution

The fourth proportional to 157.13, 216.85 and 91.64 is: 126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 216.85 = 91.64 : x
  2. Step 2: Convert to fraction form
    157.13/216.85 = 91.64/x
  3. Step 3: Cross multiply
    157.13x = 216.85 × 91.64
  4. Step 4: Simplify right side
    157.13x = 19,872.13
  5. Step 5: Solve for x
    x = 19,872.13/157.13
  6. Step 6: Final answer
    x = 126.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.