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Finding the Fourth Proportional to 228.01, 340.85 and 170.20

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Solution

The fourth proportional to 228.01, 340.85 and 170.20 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.01 : 340.85 = 170.20 : x
  2. Step 2: Convert to fraction form
    228.01/340.85 = 170.20/x
  3. Step 3: Cross multiply
    228.01x = 340.85 × 170.20
  4. Step 4: Simplify right side
    228.01x = 58,010.11
  5. Step 5: Solve for x
    x = 58,010.11/228.01
  6. Step 6: Final answer
    x = 254.42

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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.