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Finding the Fourth Proportional to 114.59, 171.06 and 102.44

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Solution

The fourth proportional to 114.59, 171.06 and 102.44 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 171.06 = 102.44 : x
  2. Step 2: Convert to fraction form
    114.59/171.06 = 102.44/x
  3. Step 3: Cross multiply
    114.59x = 171.06 × 102.44
  4. Step 4: Simplify right side
    114.59x = 17,522.87
  5. Step 5: Solve for x
    x = 17,522.87/114.59
  6. Step 6: Final answer
    x = 152.92

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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.