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Finding the Fourth Proportional to 114.96, 171.68 and 101.88

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Solution

The fourth proportional to 114.96, 171.68 and 101.88 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 171.68 = 101.88 : x
  2. Step 2: Convert to fraction form
    114.96/171.68 = 101.88/x
  3. Step 3: Cross multiply
    114.96x = 171.68 × 101.88
  4. Step 4: Simplify right side
    114.96x = 17,490.76
  5. Step 5: Solve for x
    x = 17,490.76/114.96
  6. Step 6: Final answer
    x = 152.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.