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Finding the Fourth Proportional to 407.30, 562.54 and 276.08

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Solution

The fourth proportional to 407.30, 562.54 and 276.08 is: 381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 562.54 = 276.08 : x
  2. Step 2: Convert to fraction form
    407.30/562.54 = 276.08/x
  3. Step 3: Cross multiply
    407.30x = 562.54 × 276.08
  4. Step 4: Simplify right side
    407.30x = 155,306.76
  5. Step 5: Solve for x
    x = 155,306.76/407.30
  6. Step 6: Final answer
    x = 381.31

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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.