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Finding the Fourth Proportional to 143.60, 215.54 and 102.52

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Solution

The fourth proportional to 143.60, 215.54 and 102.52 is: 153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 215.54 = 102.52 : x
  2. Step 2: Convert to fraction form
    143.60/215.54 = 102.52/x
  3. Step 3: Cross multiply
    143.60x = 215.54 × 102.52
  4. Step 4: Simplify right side
    143.60x = 22,096.08
  5. Step 5: Solve for x
    x = 22,096.08/143.60
  6. Step 6: Final answer
    x = 153.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.