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Finding the Fourth Proportional to 495.57, 742.64 and 278.04

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Solution

The fourth proportional to 495.57, 742.64 and 278.04 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 742.64 = 278.04 : x
  2. Step 2: Convert to fraction form
    495.57/742.64 = 278.04/x
  3. Step 3: Cross multiply
    495.57x = 742.64 × 278.04
  4. Step 4: Simplify right side
    495.57x = 206,482.24
  5. Step 5: Solve for x
    x = 206,482.24/495.57
  6. Step 6: Final answer
    x = 416.66

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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.