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Finding the Fourth Proportional to 147.52, 219.54 and 143.20

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Solution

The fourth proportional to 147.52, 219.54 and 143.20 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 219.54 = 143.20 : x
  2. Step 2: Convert to fraction form
    147.52/219.54 = 143.20/x
  3. Step 3: Cross multiply
    147.52x = 219.54 × 143.20
  4. Step 4: Simplify right side
    147.52x = 31,438.13
  5. Step 5: Solve for x
    x = 31,438.13/147.52
  6. Step 6: Final answer
    x = 213.11

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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.