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Finding the Fourth Proportional to 407.11, 562.28 and 275.89

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Solution

The fourth proportional to 407.11, 562.28 and 275.89 is: 381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.11 : 562.28 = 275.89 : x
  2. Step 2: Convert to fraction form
    407.11/562.28 = 275.89/x
  3. Step 3: Cross multiply
    407.11x = 562.28 × 275.89
  4. Step 4: Simplify right side
    407.11x = 155,125.70
  5. Step 5: Solve for x
    x = 155,125.70/407.11
  6. Step 6: Final answer
    x = 381.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.