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Finding the Fourth Proportional to 193.54, 289.13 and 147.76

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Solution

The fourth proportional to 193.54, 289.13 and 147.76 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.54 : 289.13 = 147.76 : x
  2. Step 2: Convert to fraction form
    193.54/289.13 = 147.76/x
  3. Step 3: Cross multiply
    193.54x = 289.13 × 147.76
  4. Step 4: Simplify right side
    193.54x = 42,721.85
  5. Step 5: Solve for x
    x = 42,721.85/193.54
  6. Step 6: Final answer
    x = 220.74

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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.