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Finding the Fourth Proportional to 456.62, 685.19 and 278.66

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Solution

The fourth proportional to 456.62, 685.19 and 278.66 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 685.19 = 278.66 : x
  2. Step 2: Convert to fraction form
    456.62/685.19 = 278.66/x
  3. Step 3: Cross multiply
    456.62x = 685.19 × 278.66
  4. Step 4: Simplify right side
    456.62x = 190,937.46
  5. Step 5: Solve for x
    x = 190,937.46/456.62
  6. Step 6: Final answer
    x = 418.16

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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.