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Finding the Fourth Proportional to 170.61, 254.60 and 152.38

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Solution

The fourth proportional to 170.61, 254.60 and 152.38 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.61 : 254.60 = 152.38 : x
  2. Step 2: Convert to fraction form
    170.61/254.60 = 152.38/x
  3. Step 3: Cross multiply
    170.61x = 254.60 × 152.38
  4. Step 4: Simplify right side
    170.61x = 38,795.95
  5. Step 5: Solve for x
    x = 38,795.95/170.61
  6. Step 6: Final answer
    x = 227.40

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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.