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Finding the Fourth Proportional to 340.59, 470.16 and 257.70

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Solution

The fourth proportional to 340.59, 470.16 and 257.70 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.59 : 470.16 = 257.70 : x
  2. Step 2: Convert to fraction form
    340.59/470.16 = 257.70/x
  3. Step 3: Cross multiply
    340.59x = 470.16 × 257.70
  4. Step 4: Simplify right side
    340.59x = 121,160.23
  5. Step 5: Solve for x
    x = 121,160.23/340.59
  6. Step 6: Final answer
    x = 355.74

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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.