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Finding the Fourth Proportional to 152.47, 229.87 and 142.03

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Solution

The fourth proportional to 152.47, 229.87 and 142.03 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.47 : 229.87 = 142.03 : x
  2. Step 2: Convert to fraction form
    152.47/229.87 = 142.03/x
  3. Step 3: Cross multiply
    152.47x = 229.87 × 142.03
  4. Step 4: Simplify right side
    152.47x = 32,648.44
  5. Step 5: Solve for x
    x = 32,648.44/152.47
  6. Step 6: Final answer
    x = 214.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.