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Finding the Fourth Proportional to 343.16, 512.05 and 306.84

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Solution

The fourth proportional to 343.16, 512.05 and 306.84 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.16 : 512.05 = 306.84 : x
  2. Step 2: Convert to fraction form
    343.16/512.05 = 306.84/x
  3. Step 3: Cross multiply
    343.16x = 512.05 × 306.84
  4. Step 4: Simplify right side
    343.16x = 157,117.42
  5. Step 5: Solve for x
    x = 157,117.42/343.16
  6. Step 6: Final answer
    x = 457.85

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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.