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Finding the Fourth Proportional to 318.52, 442.57 and 315.13

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Solution

The fourth proportional to 318.52, 442.57 and 315.13 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.52 : 442.57 = 315.13 : x
  2. Step 2: Convert to fraction form
    318.52/442.57 = 315.13/x
  3. Step 3: Cross multiply
    318.52x = 442.57 × 315.13
  4. Step 4: Simplify right side
    318.52x = 139,467.08
  5. Step 5: Solve for x
    x = 139,467.08/318.52
  6. Step 6: Final answer
    x = 437.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.