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Finding the Fourth Proportional to 343.14, 512.72 and 281.58

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Solution

The fourth proportional to 343.14, 512.72 and 281.58 is: 420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 512.72 = 281.58 : x
  2. Step 2: Convert to fraction form
    343.14/512.72 = 281.58/x
  3. Step 3: Cross multiply
    343.14x = 512.72 × 281.58
  4. Step 4: Simplify right side
    343.14x = 144,371.70
  5. Step 5: Solve for x
    x = 144,371.70/343.14
  6. Step 6: Final answer
    x = 420.74

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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.