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Finding the Fourth Proportional to 185.88, 278.74 and 89.63

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Solution

The fourth proportional to 185.88, 278.74 and 89.63 is: 134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 278.74 = 89.63 : x
  2. Step 2: Convert to fraction form
    185.88/278.74 = 89.63/x
  3. Step 3: Cross multiply
    185.88x = 278.74 × 89.63
  4. Step 4: Simplify right side
    185.88x = 24,983.47
  5. Step 5: Solve for x
    x = 24,983.47/185.88
  6. Step 6: Final answer
    x = 134.41

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