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Finding the Fourth Proportional to 407.68, 562.20 and 276.48

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Solution

The fourth proportional to 407.68, 562.20 and 276.48 is: 381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 562.20 = 276.48 : x
  2. Step 2: Convert to fraction form
    407.68/562.20 = 276.48/x
  3. Step 3: Cross multiply
    407.68x = 562.20 × 276.48
  4. Step 4: Simplify right side
    407.68x = 155,437.06
  5. Step 5: Solve for x
    x = 155,437.06/407.68
  6. Step 6: Final answer
    x = 381.27

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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.