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Finding the Fourth Proportional to 347.84, 521.16 and 286.88

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Solution

The fourth proportional to 347.84, 521.16 and 286.88 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 521.16 = 286.88 : x
  2. Step 2: Convert to fraction form
    347.84/521.16 = 286.88/x
  3. Step 3: Cross multiply
    347.84x = 521.16 × 286.88
  4. Step 4: Simplify right side
    347.84x = 149,510.38
  5. Step 5: Solve for x
    x = 149,510.38/347.84
  6. Step 6: Final answer
    x = 429.83

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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.