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Finding the Fourth Proportional to 343.38, 512.57 and 297.90

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Solution

The fourth proportional to 343.38, 512.57 and 297.90 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 512.57 = 297.90 : x
  2. Step 2: Convert to fraction form
    343.38/512.57 = 297.90/x
  3. Step 3: Cross multiply
    343.38x = 512.57 × 297.90
  4. Step 4: Simplify right side
    343.38x = 152,693.11
  5. Step 5: Solve for x
    x = 152,693.11/343.38
  6. Step 6: Final answer
    x = 444.68

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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.