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Finding the Fourth Proportional to 341.55, 471.22 and 229.52

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Solution

The fourth proportional to 341.55, 471.22 and 229.52 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.55 : 471.22 = 229.52 : x
  2. Step 2: Convert to fraction form
    341.55/471.22 = 229.52/x
  3. Step 3: Cross multiply
    341.55x = 471.22 × 229.52
  4. Step 4: Simplify right side
    341.55x = 108,155.02
  5. Step 5: Solve for x
    x = 108,155.02/341.55
  6. Step 6: Final answer
    x = 316.66

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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.