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Finding the Fourth Proportional to 228.57, 342.91 and 74.50

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Solution

The fourth proportional to 228.57, 342.91 and 74.50 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 342.91 = 74.50 : x
  2. Step 2: Convert to fraction form
    228.57/342.91 = 74.50/x
  3. Step 3: Cross multiply
    228.57x = 342.91 × 74.50
  4. Step 4: Simplify right side
    228.57x = 25,546.42
  5. Step 5: Solve for x
    x = 25,546.42/228.57
  6. Step 6: Final answer
    x = 111.77

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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.