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Finding the Fourth Proportional to 310.60, 463.50 and 276.08

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Solution

The fourth proportional to 310.60, 463.50 and 276.08 is: 411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.60 : 463.50 = 276.08 : x
  2. Step 2: Convert to fraction form
    310.60/463.50 = 276.08/x
  3. Step 3: Cross multiply
    310.60x = 463.50 × 276.08
  4. Step 4: Simplify right side
    310.60x = 127,963.08
  5. Step 5: Solve for x
    x = 127,963.08/310.60
  6. Step 6: Final answer
    x = 411.99

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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.