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Finding the Fourth Proportional to 152.07, 229.42 and 144.47

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Solution

The fourth proportional to 152.07, 229.42 and 144.47 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 229.42 = 144.47 : x
  2. Step 2: Convert to fraction form
    152.07/229.42 = 144.47/x
  3. Step 3: Cross multiply
    152.07x = 229.42 × 144.47
  4. Step 4: Simplify right side
    152.07x = 33,144.31
  5. Step 5: Solve for x
    x = 33,144.31/152.07
  6. Step 6: Final answer
    x = 217.95

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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.