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Finding the Fourth Proportional to 180.40, 269.32 and 153.06

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Solution

The fourth proportional to 180.40, 269.32 and 153.06 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 269.32 = 153.06 : x
  2. Step 2: Convert to fraction form
    180.40/269.32 = 153.06/x
  3. Step 3: Cross multiply
    180.40x = 269.32 × 153.06
  4. Step 4: Simplify right side
    180.40x = 41,222.12
  5. Step 5: Solve for x
    x = 41,222.12/180.40
  6. Step 6: Final answer
    x = 228.50

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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.