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Finding the Fourth Proportional to 340.92, 470.20 and 257.12

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Solution

The fourth proportional to 340.92, 470.20 and 257.12 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 470.20 = 257.12 : x
  2. Step 2: Convert to fraction form
    340.92/470.20 = 257.12/x
  3. Step 3: Cross multiply
    340.92x = 470.20 × 257.12
  4. Step 4: Simplify right side
    340.92x = 120,897.82
  5. Step 5: Solve for x
    x = 120,897.82/340.92
  6. Step 6: Final answer
    x = 354.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.