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Finding the Fourth Proportional to 310.13, 463.12 and 275.50

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Solution

The fourth proportional to 310.13, 463.12 and 275.50 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 463.12 = 275.50 : x
  2. Step 2: Convert to fraction form
    310.13/463.12 = 275.50/x
  3. Step 3: Cross multiply
    310.13x = 463.12 × 275.50
  4. Step 4: Simplify right side
    310.13x = 127,589.45
  5. Step 5: Solve for x
    x = 127,589.45/310.13
  6. Step 6: Final answer
    x = 411.41

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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.