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Finding the Fourth Proportional to 401.32, 552.72 and 360.04

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Solution

The fourth proportional to 401.32, 552.72 and 360.04 is: 495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.32 : 552.72 = 360.04 : x
  2. Step 2: Convert to fraction form
    401.32/552.72 = 360.04/x
  3. Step 3: Cross multiply
    401.32x = 552.72 × 360.04
  4. Step 4: Simplify right side
    401.32x = 199,001.31
  5. Step 5: Solve for x
    x = 199,001.31/401.32
  6. Step 6: Final answer
    x = 495.87

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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.