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Finding the Fourth Proportional to 228.72, 342.84 and 91.71

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Solution

The fourth proportional to 228.72, 342.84 and 91.71 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 342.84 = 91.71 : x
  2. Step 2: Convert to fraction form
    228.72/342.84 = 91.71/x
  3. Step 3: Cross multiply
    228.72x = 342.84 × 91.71
  4. Step 4: Simplify right side
    228.72x = 31,441.86
  5. Step 5: Solve for x
    x = 31,441.86/228.72
  6. Step 6: Final answer
    x = 137.47

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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.