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Finding the Fourth Proportional to 442.23, 611.45 and 387.55

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Solution

The fourth proportional to 442.23, 611.45 and 387.55 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 611.45 = 387.55 : x
  2. Step 2: Convert to fraction form
    442.23/611.45 = 387.55/x
  3. Step 3: Cross multiply
    442.23x = 611.45 × 387.55
  4. Step 4: Simplify right side
    442.23x = 236,967.45
  5. Step 5: Solve for x
    x = 236,967.45/442.23
  6. Step 6: Final answer
    x = 535.85

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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.