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Finding the Fourth Proportional to 442.12, 611.46 and 403.24

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Solution

The fourth proportional to 442.12, 611.46 and 403.24 is: 557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 611.46 = 403.24 : x
  2. Step 2: Convert to fraction form
    442.12/611.46 = 403.24/x
  3. Step 3: Cross multiply
    442.12x = 611.46 × 403.24
  4. Step 4: Simplify right side
    442.12x = 246,565.13
  5. Step 5: Solve for x
    x = 246,565.13/442.12
  6. Step 6: Final answer
    x = 557.69

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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.