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Finding the Fourth Proportional to 147.52, 220.98 and 130.44

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Solution

The fourth proportional to 147.52, 220.98 and 130.44 is: 195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 220.98 = 130.44 : x
  2. Step 2: Convert to fraction form
    147.52/220.98 = 130.44/x
  3. Step 3: Cross multiply
    147.52x = 220.98 × 130.44
  4. Step 4: Simplify right side
    147.52x = 28,825.22
  5. Step 5: Solve for x
    x = 28,825.22/147.52
  6. Step 6: Final answer
    x = 195.40

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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.