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Finding the Fourth Proportional to 343.29, 512.54 and 288.62

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Solution

The fourth proportional to 343.29, 512.54 and 288.62 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.29 : 512.54 = 288.62 : x
  2. Step 2: Convert to fraction form
    343.29/512.54 = 288.62/x
  3. Step 3: Cross multiply
    343.29x = 512.54 × 288.62
  4. Step 4: Simplify right side
    343.29x = 147,929.29
  5. Step 5: Solve for x
    x = 147,929.29/343.29
  6. Step 6: Final answer
    x = 430.92

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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.