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Finding the Fourth Proportional to 228.39, 342.55 and 82.12

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Solution

The fourth proportional to 228.39, 342.55 and 82.12 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.39 : 342.55 = 82.12 : x
  2. Step 2: Convert to fraction form
    228.39/342.55 = 82.12/x
  3. Step 3: Cross multiply
    228.39x = 342.55 × 82.12
  4. Step 4: Simplify right side
    228.39x = 28,130.60
  5. Step 5: Solve for x
    x = 28,130.60/228.39
  6. Step 6: Final answer
    x = 123.17

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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.