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Finding the Fourth Proportional to 228.13, 341.99 and 83.75

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Solution

The fourth proportional to 228.13, 341.99 and 83.75 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.13 : 341.99 = 83.75 : x
  2. Step 2: Convert to fraction form
    228.13/341.99 = 83.75/x
  3. Step 3: Cross multiply
    228.13x = 341.99 × 83.75
  4. Step 4: Simplify right side
    228.13x = 28,641.66
  5. Step 5: Solve for x
    x = 28,641.66/228.13
  6. Step 6: Final answer
    x = 125.55

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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.