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Finding the Fourth Proportional to 315.92, 471.20 and 310.45

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Solution

The fourth proportional to 315.92, 471.20 and 310.45 is: 463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 471.20 = 310.45 : x
  2. Step 2: Convert to fraction form
    315.92/471.20 = 310.45/x
  3. Step 3: Cross multiply
    315.92x = 471.20 × 310.45
  4. Step 4: Simplify right side
    315.92x = 146,282.49
  5. Step 5: Solve for x
    x = 146,282.49/315.92
  6. Step 6: Final answer
    x = 463.04

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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.