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Finding the Fourth Proportional to 228.32, 342.40 and 84

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Solution

The fourth proportional to 228.32, 342.40 and 84 is: 125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 342.40 = 84 : x
  2. Step 2: Convert to fraction form
    228.32/342.40 = 84/x
  3. Step 3: Cross multiply
    228.32x = 342.40 × 84
  4. Step 4: Simplify right side
    228.32x = 28,761.60
  5. Step 5: Solve for x
    x = 28,761.60/228.32
  6. Step 6: Final answer
    x = 125.97

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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.