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Finding the Fourth Proportional to 340.90, 470.68 and 230.47

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Solution

The fourth proportional to 340.90, 470.68 and 230.47 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.90 : 470.68 = 230.47 : x
  2. Step 2: Convert to fraction form
    340.90/470.68 = 230.47/x
  3. Step 3: Cross multiply
    340.90x = 470.68 × 230.47
  4. Step 4: Simplify right side
    340.90x = 108,475.87
  5. Step 5: Solve for x
    x = 108,475.87/340.90
  6. Step 6: Final answer
    x = 318.21

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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.