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Finding the Fourth Proportional to 495.16, 743.04 and 278.80

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Solution

The fourth proportional to 495.16, 743.04 and 278.80 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 743.04 = 278.80 : x
  2. Step 2: Convert to fraction form
    495.16/743.04 = 278.80/x
  3. Step 3: Cross multiply
    495.16x = 743.04 × 278.80
  4. Step 4: Simplify right side
    495.16x = 207,159.55
  5. Step 5: Solve for x
    x = 207,159.55/495.16
  6. Step 6: Final answer
    x = 418.37

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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.