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Finding the Fourth Proportional to 343.19, 513.97 and 188.89

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Solution

The fourth proportional to 343.19, 513.97 and 188.89 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 513.97 = 188.89 : x
  2. Step 2: Convert to fraction form
    343.19/513.97 = 188.89/x
  3. Step 3: Cross multiply
    343.19x = 513.97 × 188.89
  4. Step 4: Simplify right side
    343.19x = 97,083.79
  5. Step 5: Solve for x
    x = 97,083.79/343.19
  6. Step 6: Final answer
    x = 282.89

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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.