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Finding the Fourth Proportional to 185.04, 277.32 and 88.64

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Solution

The fourth proportional to 185.04, 277.32 and 88.64 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 277.32 = 88.64 : x
  2. Step 2: Convert to fraction form
    185.04/277.32 = 88.64/x
  3. Step 3: Cross multiply
    185.04x = 277.32 × 88.64
  4. Step 4: Simplify right side
    185.04x = 24,581.64
  5. Step 5: Solve for x
    x = 24,581.64/185.04
  6. Step 6: Final answer
    x = 132.85

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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.