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Finding the Fourth Proportional to 310.87, 463.68 and 264.70

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Solution

The fourth proportional to 310.87, 463.68 and 264.70 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.87 : 463.68 = 264.70 : x
  2. Step 2: Convert to fraction form
    310.87/463.68 = 264.70/x
  3. Step 3: Cross multiply
    310.87x = 463.68 × 264.70
  4. Step 4: Simplify right side
    310.87x = 122,736.68
  5. Step 5: Solve for x
    x = 122,736.68/310.87
  6. Step 6: Final answer
    x = 394.82

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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.