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Finding the Fourth Proportional to 442.90, 611.23 and 256.40

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Solution

The fourth proportional to 442.90, 611.23 and 256.40 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 611.23 = 256.40 : x
  2. Step 2: Convert to fraction form
    442.90/611.23 = 256.40/x
  3. Step 3: Cross multiply
    442.90x = 611.23 × 256.40
  4. Step 4: Simplify right side
    442.90x = 156,719.37
  5. Step 5: Solve for x
    x = 156,719.37/442.90
  6. Step 6: Final answer
    x = 353.85

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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.