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Finding the Fourth Proportional to 180.51, 269.49 and 153.18

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Solution

The fourth proportional to 180.51, 269.49 and 153.18 is: 228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 269.49 = 153.18 : x
  2. Step 2: Convert to fraction form
    180.51/269.49 = 153.18/x
  3. Step 3: Cross multiply
    180.51x = 269.49 × 153.18
  4. Step 4: Simplify right side
    180.51x = 41,280.48
  5. Step 5: Solve for x
    x = 41,280.48/180.51
  6. Step 6: Final answer
    x = 228.69

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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.