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Finding the Fourth Proportional to 360.72, 538.55 and 319.82

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Solution

The fourth proportional to 360.72, 538.55 and 319.82 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 538.55 = 319.82 : x
  2. Step 2: Convert to fraction form
    360.72/538.55 = 319.82/x
  3. Step 3: Cross multiply
    360.72x = 538.55 × 319.82
  4. Step 4: Simplify right side
    360.72x = 172,235.97
  5. Step 5: Solve for x
    x = 172,235.97/360.72
  6. Step 6: Final answer
    x = 477.48

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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.