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Finding the Fourth Proportional to 294.55, 439.85 and 256.13

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Solution

The fourth proportional to 294.55, 439.85 and 256.13 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.55 : 439.85 = 256.13 : x
  2. Step 2: Convert to fraction form
    294.55/439.85 = 256.13/x
  3. Step 3: Cross multiply
    294.55x = 439.85 × 256.13
  4. Step 4: Simplify right side
    294.55x = 112,657.43
  5. Step 5: Solve for x
    x = 112,657.43/294.55
  6. Step 6: Final answer
    x = 382.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.