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Finding the Fourth Proportional to 315.38, 469.85 and 299.88

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Solution

The fourth proportional to 315.38, 469.85 and 299.88 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 469.85 = 299.88 : x
  2. Step 2: Convert to fraction form
    315.38/469.85 = 299.88/x
  3. Step 3: Cross multiply
    315.38x = 469.85 × 299.88
  4. Step 4: Simplify right side
    315.38x = 140,897.12
  5. Step 5: Solve for x
    x = 140,897.12/315.38
  6. Step 6: Final answer
    x = 446.76

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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.