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Finding the Fourth Proportional to 265.52, 365.42 and 224.61

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Solution

The fourth proportional to 265.52, 365.42 and 224.61 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.52 : 365.42 = 224.61 : x
  2. Step 2: Convert to fraction form
    265.52/365.42 = 224.61/x
  3. Step 3: Cross multiply
    265.52x = 365.42 × 224.61
  4. Step 4: Simplify right side
    265.52x = 82,075.86
  5. Step 5: Solve for x
    x = 82,075.86/265.52
  6. Step 6: Final answer
    x = 309.12

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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.