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Finding the Fourth Proportional to 377.84, 562.96 and 353

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Solution

The fourth proportional to 377.84, 562.96 and 353 is: 525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 562.96 = 353 : x
  2. Step 2: Convert to fraction form
    377.84/562.96 = 353/x
  3. Step 3: Cross multiply
    377.84x = 562.96 × 353
  4. Step 4: Simplify right side
    377.84x = 198,724.88
  5. Step 5: Solve for x
    x = 198,724.88/377.84
  6. Step 6: Final answer
    x = 525.95

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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.