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Finding the Fourth Proportional to 341.20, 470.47 and 230.74

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Solution

The fourth proportional to 341.20, 470.47 and 230.74 is: 318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.20 : 470.47 = 230.74 : x
  2. Step 2: Convert to fraction form
    341.20/470.47 = 230.74/x
  3. Step 3: Cross multiply
    341.20x = 470.47 × 230.74
  4. Step 4: Simplify right side
    341.20x = 108,556.25
  5. Step 5: Solve for x
    x = 108,556.25/341.20
  6. Step 6: Final answer
    x = 318.16

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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.