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Finding the Fourth Proportional to 310.73, 463.53 and 259.70

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Solution

The fourth proportional to 310.73, 463.53 and 259.70 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.73 : 463.53 = 259.70 : x
  2. Step 2: Convert to fraction form
    310.73/463.53 = 259.70/x
  3. Step 3: Cross multiply
    310.73x = 463.53 × 259.70
  4. Step 4: Simplify right side
    310.73x = 120,376.42
  5. Step 5: Solve for x
    x = 120,376.42/310.73
  6. Step 6: Final answer
    x = 387.41

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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.