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Finding the Fourth Proportional to 343.50, 512.91 and 282.48

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Solution

The fourth proportional to 343.50, 512.91 and 282.48 is: 421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 512.91 = 282.48 : x
  2. Step 2: Convert to fraction form
    343.50/512.91 = 282.48/x
  3. Step 3: Cross multiply
    343.50x = 512.91 × 282.48
  4. Step 4: Simplify right side
    343.50x = 144,886.82
  5. Step 5: Solve for x
    x = 144,886.82/343.50
  6. Step 6: Final answer
    x = 421.80

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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.