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Finding the Fourth Proportional to 340.71, 470.31 and 257.84

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Solution

The fourth proportional to 340.71, 470.31 and 257.84 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 470.31 = 257.84 : x
  2. Step 2: Convert to fraction form
    340.71/470.31 = 257.84/x
  3. Step 3: Cross multiply
    340.71x = 470.31 × 257.84
  4. Step 4: Simplify right side
    340.71x = 121,262.38
  5. Step 5: Solve for x
    x = 121,262.38/340.71
  6. Step 6: Final answer
    x = 355.92

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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.