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Finding the Fourth Proportional to 378.74, 568.28 and 256.72

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Solution

The fourth proportional to 378.74, 568.28 and 256.72 is: 385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 568.28 = 256.72 : x
  2. Step 2: Convert to fraction form
    378.74/568.28 = 256.72/x
  3. Step 3: Cross multiply
    378.74x = 568.28 × 256.72
  4. Step 4: Simplify right side
    378.74x = 145,888.84
  5. Step 5: Solve for x
    x = 145,888.84/378.74
  6. Step 6: Final answer
    x = 385.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.