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Finding the Fourth Proportional to 185.51, 278.15 and 98.80

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Solution

The fourth proportional to 185.51, 278.15 and 98.80 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.51 : 278.15 = 98.80 : x
  2. Step 2: Convert to fraction form
    185.51/278.15 = 98.80/x
  3. Step 3: Cross multiply
    185.51x = 278.15 × 98.80
  4. Step 4: Simplify right side
    185.51x = 27,480.77
  5. Step 5: Solve for x
    x = 27,480.77/185.51
  6. Step 6: Final answer
    x = 148.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.