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Finding the Fourth Proportional to 265.49, 366.38 and 147.47

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Solution

The fourth proportional to 265.49, 366.38 and 147.47 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.49 : 366.38 = 147.47 : x
  2. Step 2: Convert to fraction form
    265.49/366.38 = 147.47/x
  3. Step 3: Cross multiply
    265.49x = 366.38 × 147.47
  4. Step 4: Simplify right side
    265.49x = 54,027.49
  5. Step 5: Solve for x
    x = 54,027.49/265.49
  6. Step 6: Final answer
    x = 203.50

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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.