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Finding the Fourth Proportional to 184.40, 275.61 and 161.08

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Solution

The fourth proportional to 184.40, 275.61 and 161.08 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.40 : 275.61 = 161.08 : x
  2. Step 2: Convert to fraction form
    184.40/275.61 = 161.08/x
  3. Step 3: Cross multiply
    184.40x = 275.61 × 161.08
  4. Step 4: Simplify right side
    184.40x = 44,395.26
  5. Step 5: Solve for x
    x = 44,395.26/184.40
  6. Step 6: Final answer
    x = 240.76

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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.