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Finding the Fourth Proportional to 155.87, 234.95 and 147.02

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Solution

The fourth proportional to 155.87, 234.95 and 147.02 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.87 : 234.95 = 147.02 : x
  2. Step 2: Convert to fraction form
    155.87/234.95 = 147.02/x
  3. Step 3: Cross multiply
    155.87x = 234.95 × 147.02
  4. Step 4: Simplify right side
    155.87x = 34,543.30
  5. Step 5: Solve for x
    x = 34,543.30/155.87
  6. Step 6: Final answer
    x = 221.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.