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Finding the Fourth Proportional to 82.34, 123.42 and 45.30

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Solution

The fourth proportional to 82.34, 123.42 and 45.30 is: 67.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 123.42 = 45.30 : x
  2. Step 2: Convert to fraction form
    82.34/123.42 = 45.30/x
  3. Step 3: Cross multiply
    82.34x = 123.42 × 45.30
  4. Step 4: Simplify right side
    82.34x = 5,590.93
  5. Step 5: Solve for x
    x = 5,590.93/82.34
  6. Step 6: Final answer
    x = 67.90

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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.