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Finding the Fourth Proportional to 408.15, 562.45 and 291.51

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Solution

The fourth proportional to 408.15, 562.45 and 291.51 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 562.45 = 291.51 : x
  2. Step 2: Convert to fraction form
    408.15/562.45 = 291.51/x
  3. Step 3: Cross multiply
    408.15x = 562.45 × 291.51
  4. Step 4: Simplify right side
    408.15x = 163,959.80
  5. Step 5: Solve for x
    x = 163,959.80/408.15
  6. Step 6: Final answer
    x = 401.71

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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.