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Finding the Fourth Proportional to 147.20, 219.52 and 145.60

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Solution

The fourth proportional to 147.20, 219.52 and 145.60 is: 217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.20 : 219.52 = 145.60 : x
  2. Step 2: Convert to fraction form
    147.20/219.52 = 145.60/x
  3. Step 3: Cross multiply
    147.20x = 219.52 × 145.60
  4. Step 4: Simplify right side
    147.20x = 31,962.11
  5. Step 5: Solve for x
    x = 31,962.11/147.20
  6. Step 6: Final answer
    x = 217.13

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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.