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Finding the Fourth Proportional to 306.88, 457.84 and 278.96

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Solution

The fourth proportional to 306.88, 457.84 and 278.96 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 457.84 = 278.96 : x
  2. Step 2: Convert to fraction form
    306.88/457.84 = 278.96/x
  3. Step 3: Cross multiply
    306.88x = 457.84 × 278.96
  4. Step 4: Simplify right side
    306.88x = 127,719.05
  5. Step 5: Solve for x
    x = 127,719.05/306.88
  6. Step 6: Final answer
    x = 416.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.