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Finding the Fourth Proportional to 430.54, 645.84 and 122.42

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Solution

The fourth proportional to 430.54, 645.84 and 122.42 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 645.84 = 122.42 : x
  2. Step 2: Convert to fraction form
    430.54/645.84 = 122.42/x
  3. Step 3: Cross multiply
    430.54x = 645.84 × 122.42
  4. Step 4: Simplify right side
    430.54x = 79,063.73
  5. Step 5: Solve for x
    x = 79,063.73/430.54
  6. Step 6: Final answer
    x = 183.64

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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.