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Finding the Fourth Proportional to 310.70, 463.51 and 256.44

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Solution

The fourth proportional to 310.70, 463.51 and 256.44 is: 382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 463.51 = 256.44 : x
  2. Step 2: Convert to fraction form
    310.70/463.51 = 256.44/x
  3. Step 3: Cross multiply
    310.70x = 463.51 × 256.44
  4. Step 4: Simplify right side
    310.70x = 118,862.50
  5. Step 5: Solve for x
    x = 118,862.50/310.70
  6. Step 6: Final answer
    x = 382.56

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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.