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Finding the Fourth Proportional to 496.66, 742.14 and 378.88

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Solution

The fourth proportional to 496.66, 742.14 and 378.88 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.66 : 742.14 = 378.88 : x
  2. Step 2: Convert to fraction form
    496.66/742.14 = 378.88/x
  3. Step 3: Cross multiply
    496.66x = 742.14 × 378.88
  4. Step 4: Simplify right side
    496.66x = 281,182.00
  5. Step 5: Solve for x
    x = 281,182.00/496.66
  6. Step 6: Final answer
    x = 566.15

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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.