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Finding the Fourth Proportional to 265.52, 366.18 and 232.58

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Solution

The fourth proportional to 265.52, 366.18 and 232.58 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.52 : 366.18 = 232.58 : x
  2. Step 2: Convert to fraction form
    265.52/366.18 = 232.58/x
  3. Step 3: Cross multiply
    265.52x = 366.18 × 232.58
  4. Step 4: Simplify right side
    265.52x = 85,166.14
  5. Step 5: Solve for x
    x = 85,166.14/265.52
  6. Step 6: Final answer
    x = 320.75

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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.