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Finding the Fourth Proportional to 332.64, 497.61 and 224.10

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Solution

The fourth proportional to 332.64, 497.61 and 224.10 is: 335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 497.61 = 224.10 : x
  2. Step 2: Convert to fraction form
    332.64/497.61 = 224.10/x
  3. Step 3: Cross multiply
    332.64x = 497.61 × 224.10
  4. Step 4: Simplify right side
    332.64x = 111,514.40
  5. Step 5: Solve for x
    x = 111,514.40/332.64
  6. Step 6: Final answer
    x = 335.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.