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Finding the Fourth Proportional to 170.42, 255.38 and 152.10

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Solution

The fourth proportional to 170.42, 255.38 and 152.10 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 255.38 = 152.10 : x
  2. Step 2: Convert to fraction form
    170.42/255.38 = 152.10/x
  3. Step 3: Cross multiply
    170.42x = 255.38 × 152.10
  4. Step 4: Simplify right side
    170.42x = 38,843.30
  5. Step 5: Solve for x
    x = 38,843.30/170.42
  6. Step 6: Final answer
    x = 227.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.