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Finding the Fourth Proportional to 147.88, 220.56 and 145.46

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Solution

The fourth proportional to 147.88, 220.56 and 145.46 is: 216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 220.56 = 145.46 : x
  2. Step 2: Convert to fraction form
    147.88/220.56 = 145.46/x
  3. Step 3: Cross multiply
    147.88x = 220.56 × 145.46
  4. Step 4: Simplify right side
    147.88x = 32,082.66
  5. Step 5: Solve for x
    x = 32,082.66/147.88
  6. Step 6: Final answer
    x = 216.95

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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.