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Finding the Fourth Proportional to 360.16, 538.24 and 323.68

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Solution

The fourth proportional to 360.16, 538.24 and 323.68 is: 483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 538.24 = 323.68 : x
  2. Step 2: Convert to fraction form
    360.16/538.24 = 323.68/x
  3. Step 3: Cross multiply
    360.16x = 538.24 × 323.68
  4. Step 4: Simplify right side
    360.16x = 174,217.52
  5. Step 5: Solve for x
    x = 174,217.52/360.16
  6. Step 6: Final answer
    x = 483.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.