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Finding the Fourth Proportional to 310.40, 463.55 and 276.38

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Solution

The fourth proportional to 310.40, 463.55 and 276.38 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 463.55 = 276.38 : x
  2. Step 2: Convert to fraction form
    310.40/463.55 = 276.38/x
  3. Step 3: Cross multiply
    310.40x = 463.55 × 276.38
  4. Step 4: Simplify right side
    310.40x = 128,112.25
  5. Step 5: Solve for x
    x = 128,112.25/310.40
  6. Step 6: Final answer
    x = 412.74

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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.