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Finding the Fourth Proportional to 442.82, 611.10 and 295.74

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Solution

The fourth proportional to 442.82, 611.10 and 295.74 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.82 : 611.10 = 295.74 : x
  2. Step 2: Convert to fraction form
    442.82/611.10 = 295.74/x
  3. Step 3: Cross multiply
    442.82x = 611.10 × 295.74
  4. Step 4: Simplify right side
    442.82x = 180,726.71
  5. Step 5: Solve for x
    x = 180,726.71/442.82
  6. Step 6: Final answer
    x = 408.13

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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.