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Finding the Fourth Proportional to 145.52, 217.85 and 113.48

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Solution

The fourth proportional to 145.52, 217.85 and 113.48 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 217.85 = 113.48 : x
  2. Step 2: Convert to fraction form
    145.52/217.85 = 113.48/x
  3. Step 3: Cross multiply
    145.52x = 217.85 × 113.48
  4. Step 4: Simplify right side
    145.52x = 24,720.81
  5. Step 5: Solve for x
    x = 24,720.81/145.52
  6. Step 6: Final answer
    x = 169.88

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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.