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Finding the Fourth Proportional to 228.85, 343.29 and 74.78

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Solution

The fourth proportional to 228.85, 343.29 and 74.78 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.85 : 343.29 = 74.78 : x
  2. Step 2: Convert to fraction form
    228.85/343.29 = 74.78/x
  3. Step 3: Cross multiply
    228.85x = 343.29 × 74.78
  4. Step 4: Simplify right side
    228.85x = 25,670.66
  5. Step 5: Solve for x
    x = 25,670.66/228.85
  6. Step 6: Final answer
    x = 112.17

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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.