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Finding the Fourth Proportional to 343.47, 514.38 and 256.71

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Solution

The fourth proportional to 343.47, 514.38 and 256.71 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.47 : 514.38 = 256.71 : x
  2. Step 2: Convert to fraction form
    343.47/514.38 = 256.71/x
  3. Step 3: Cross multiply
    343.47x = 514.38 × 256.71
  4. Step 4: Simplify right side
    343.47x = 132,046.49
  5. Step 5: Solve for x
    x = 132,046.49/343.47
  6. Step 6: Final answer
    x = 384.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.