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Finding the Fourth Proportional to 114.17, 157.44 and 76.78

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Solution

The fourth proportional to 114.17, 157.44 and 76.78 is: 105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.17 : 157.44 = 76.78 : x
  2. Step 2: Convert to fraction form
    114.17/157.44 = 76.78/x
  3. Step 3: Cross multiply
    114.17x = 157.44 × 76.78
  4. Step 4: Simplify right side
    114.17x = 12,088.46
  5. Step 5: Solve for x
    x = 12,088.46/114.17
  6. Step 6: Final answer
    x = 105.89

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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.