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Finding the Fourth Proportional to 310.08, 463.80 and 227.87

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Solution

The fourth proportional to 310.08, 463.80 and 227.87 is: 340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 463.80 = 227.87 : x
  2. Step 2: Convert to fraction form
    310.08/463.80 = 227.87/x
  3. Step 3: Cross multiply
    310.08x = 463.80 × 227.87
  4. Step 4: Simplify right side
    310.08x = 105,686.11
  5. Step 5: Solve for x
    x = 105,686.11/310.08
  6. Step 6: Final answer
    x = 340.83

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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.