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Finding the Fourth Proportional to 187.80, 258.90 and 144.06

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Solution

The fourth proportional to 187.80, 258.90 and 144.06 is: 198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 258.90 = 144.06 : x
  2. Step 2: Convert to fraction form
    187.80/258.90 = 144.06/x
  3. Step 3: Cross multiply
    187.80x = 258.90 × 144.06
  4. Step 4: Simplify right side
    187.80x = 37,297.13
  5. Step 5: Solve for x
    x = 37,297.13/187.80
  6. Step 6: Final answer
    x = 198.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.