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Finding the Fourth Proportional to 310.24, 464.80 and 145.41

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Solution

The fourth proportional to 310.24, 464.80 and 145.41 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 464.80 = 145.41 : x
  2. Step 2: Convert to fraction form
    310.24/464.80 = 145.41/x
  3. Step 3: Cross multiply
    310.24x = 464.80 × 145.41
  4. Step 4: Simplify right side
    310.24x = 67,586.57
  5. Step 5: Solve for x
    x = 67,586.57/310.24
  6. Step 6: Final answer
    x = 217.85

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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.