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Finding the Fourth Proportional to 343.53, 512.78 and 302.52

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Solution

The fourth proportional to 343.53, 512.78 and 302.52 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 512.78 = 302.52 : x
  2. Step 2: Convert to fraction form
    343.53/512.78 = 302.52/x
  3. Step 3: Cross multiply
    343.53x = 512.78 × 302.52
  4. Step 4: Simplify right side
    343.53x = 155,124.69
  5. Step 5: Solve for x
    x = 155,124.69/343.53
  6. Step 6: Final answer
    x = 451.56

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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.