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Finding the Fourth Proportional to 495.36, 742.80 and 278.88

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Solution

The fourth proportional to 495.36, 742.80 and 278.88 is: 418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.36 : 742.80 = 278.88 : x
  2. Step 2: Convert to fraction form
    495.36/742.80 = 278.88/x
  3. Step 3: Cross multiply
    495.36x = 742.80 × 278.88
  4. Step 4: Simplify right side
    495.36x = 207,152.06
  5. Step 5: Solve for x
    x = 207,152.06/495.36
  6. Step 6: Final answer
    x = 418.18

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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.