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Finding the Fourth Proportional to 495.04, 742.11 and 278.16

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Solution

The fourth proportional to 495.04, 742.11 and 278.16 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.04 : 742.11 = 278.16 : x
  2. Step 2: Convert to fraction form
    495.04/742.11 = 278.16/x
  3. Step 3: Cross multiply
    495.04x = 742.11 × 278.16
  4. Step 4: Simplify right side
    495.04x = 206,421.61
  5. Step 5: Solve for x
    x = 206,421.61/495.04
  6. Step 6: Final answer
    x = 416.98

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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.