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Finding the Fourth Proportional to 114.10, 157.28 and 91.78

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Solution

The fourth proportional to 114.10, 157.28 and 91.78 is: 126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 157.28 = 91.78 : x
  2. Step 2: Convert to fraction form
    114.10/157.28 = 91.78/x
  3. Step 3: Cross multiply
    114.10x = 157.28 × 91.78
  4. Step 4: Simplify right side
    114.10x = 14,435.16
  5. Step 5: Solve for x
    x = 14,435.16/114.10
  6. Step 6: Final answer
    x = 126.51

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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.