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Finding the Fourth Proportional to 185.02, 278.63 and 161.26

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Solution

The fourth proportional to 185.02, 278.63 and 161.26 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 278.63 = 161.26 : x
  2. Step 2: Convert to fraction form
    185.02/278.63 = 161.26/x
  3. Step 3: Cross multiply
    185.02x = 278.63 × 161.26
  4. Step 4: Simplify right side
    185.02x = 44,931.87
  5. Step 5: Solve for x
    x = 44,931.87/185.02
  6. Step 6: Final answer
    x = 242.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.