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Finding the Fourth Proportional to 170.16, 254.45 and 151.98

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Solution

The fourth proportional to 170.16, 254.45 and 151.98 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 254.45 = 151.98 : x
  2. Step 2: Convert to fraction form
    170.16/254.45 = 151.98/x
  3. Step 3: Cross multiply
    170.16x = 254.45 × 151.98
  4. Step 4: Simplify right side
    170.16x = 38,670.55
  5. Step 5: Solve for x
    x = 38,670.55/170.16
  6. Step 6: Final answer
    x = 227.26

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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.