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Finding the Fourth Proportional to 175.61, 262.16 and 151.23

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Solution

The fourth proportional to 175.61, 262.16 and 151.23 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.61 : 262.16 = 151.23 : x
  2. Step 2: Convert to fraction form
    175.61/262.16 = 151.23/x
  3. Step 3: Cross multiply
    175.61x = 262.16 × 151.23
  4. Step 4: Simplify right side
    175.61x = 39,645.70
  5. Step 5: Solve for x
    x = 39,645.70/175.61
  6. Step 6: Final answer
    x = 225.77

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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.