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Finding the Fourth Proportional to 311.60, 463.66 and 310.60

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Solution

The fourth proportional to 311.60, 463.66 and 310.60 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 463.66 = 310.60 : x
  2. Step 2: Convert to fraction form
    311.60/463.66 = 310.60/x
  3. Step 3: Cross multiply
    311.60x = 463.66 × 310.60
  4. Step 4: Simplify right side
    311.60x = 144,012.80
  5. Step 5: Solve for x
    x = 144,012.80/311.60
  6. Step 6: Final answer
    x = 462.17

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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.