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Finding the Fourth Proportional to 343.01, 513.88 and 188.71

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Solution

The fourth proportional to 343.01, 513.88 and 188.71 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.01 : 513.88 = 188.71 : x
  2. Step 2: Convert to fraction form
    343.01/513.88 = 188.71/x
  3. Step 3: Cross multiply
    343.01x = 513.88 × 188.71
  4. Step 4: Simplify right side
    343.01x = 96,974.29
  5. Step 5: Solve for x
    x = 96,974.29/343.01
  6. Step 6: Final answer
    x = 282.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.