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Finding the Fourth Proportional to 306.82, 460.23 and 278.98

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Solution

The fourth proportional to 306.82, 460.23 and 278.98 is: 418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 460.23 = 278.98 : x
  2. Step 2: Convert to fraction form
    306.82/460.23 = 278.98/x
  3. Step 3: Cross multiply
    306.82x = 460.23 × 278.98
  4. Step 4: Simplify right side
    306.82x = 128,394.97
  5. Step 5: Solve for x
    x = 128,394.97/306.82
  6. Step 6: Final answer
    x = 418.47

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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.