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Finding the Fourth Proportional to 229.30, 342.76 and 170.98

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Solution

The fourth proportional to 229.30, 342.76 and 170.98 is: 255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 342.76 = 170.98 : x
  2. Step 2: Convert to fraction form
    229.30/342.76 = 170.98/x
  3. Step 3: Cross multiply
    229.30x = 342.76 × 170.98
  4. Step 4: Simplify right side
    229.30x = 58,605.10
  5. Step 5: Solve for x
    x = 58,605.10/229.30
  6. Step 6: Final answer
    x = 255.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.