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Finding the Fourth Proportional to 393.10, 588.85 and 315.65

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Solution

The fourth proportional to 393.10, 588.85 and 315.65 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.10 : 588.85 = 315.65 : x
  2. Step 2: Convert to fraction form
    393.10/588.85 = 315.65/x
  3. Step 3: Cross multiply
    393.10x = 588.85 × 315.65
  4. Step 4: Simplify right side
    393.10x = 185,870.50
  5. Step 5: Solve for x
    x = 185,870.50/393.10
  6. Step 6: Final answer
    x = 472.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.