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Finding the Fourth Proportional to 269.53, 371.91 and 151.51

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Solution

The fourth proportional to 269.53, 371.91 and 151.51 is: 209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 371.91 = 151.51 : x
  2. Step 2: Convert to fraction form
    269.53/371.91 = 151.51/x
  3. Step 3: Cross multiply
    269.53x = 371.91 × 151.51
  4. Step 4: Simplify right side
    269.53x = 56,346.22
  5. Step 5: Solve for x
    x = 56,346.22/269.53
  6. Step 6: Final answer
    x = 209.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.