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Finding the Fourth Proportional to 343.96, 476.65 and 279.16

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Solution

The fourth proportional to 343.96, 476.65 and 279.16 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 476.65 = 279.16 : x
  2. Step 2: Convert to fraction form
    343.96/476.65 = 279.16/x
  3. Step 3: Cross multiply
    343.96x = 476.65 × 279.16
  4. Step 4: Simplify right side
    343.96x = 133,061.61
  5. Step 5: Solve for x
    x = 133,061.61/343.96
  6. Step 6: Final answer
    x = 386.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.