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Finding the Fourth Proportional to 169.86, 253.48 and 151.63

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Solution

The fourth proportional to 169.86, 253.48 and 151.63 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 253.48 = 151.63 : x
  2. Step 2: Convert to fraction form
    169.86/253.48 = 151.63/x
  3. Step 3: Cross multiply
    169.86x = 253.48 × 151.63
  4. Step 4: Simplify right side
    169.86x = 38,435.17
  5. Step 5: Solve for x
    x = 38,435.17/169.86
  6. Step 6: Final answer
    x = 226.28

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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.