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Finding the Fourth Proportional to 341.17, 470.53 and 230.47

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Solution

The fourth proportional to 341.17, 470.53 and 230.47 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.17 : 470.53 = 230.47 : x
  2. Step 2: Convert to fraction form
    341.17/470.53 = 230.47/x
  3. Step 3: Cross multiply
    341.17x = 470.53 × 230.47
  4. Step 4: Simplify right side
    341.17x = 108,442.16
  5. Step 5: Solve for x
    x = 108,442.16/341.17
  6. Step 6: Final answer
    x = 317.86

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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.