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Finding the Fourth Proportional to 265.87, 366.91 and 147.85

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Solution

The fourth proportional to 265.87, 366.91 and 147.85 is: 204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 366.91 = 147.85 : x
  2. Step 2: Convert to fraction form
    265.87/366.91 = 147.85/x
  3. Step 3: Cross multiply
    265.87x = 366.91 × 147.85
  4. Step 4: Simplify right side
    265.87x = 54,247.64
  5. Step 5: Solve for x
    x = 54,247.64/265.87
  6. Step 6: Final answer
    x = 204.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.