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Finding the Fourth Proportional to 351.19, 527.02 and 123.19

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Solution

The fourth proportional to 351.19, 527.02 and 123.19 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.19 : 527.02 = 123.19 : x
  2. Step 2: Convert to fraction form
    351.19/527.02 = 123.19/x
  3. Step 3: Cross multiply
    351.19x = 527.02 × 123.19
  4. Step 4: Simplify right side
    351.19x = 64,923.59
  5. Step 5: Solve for x
    x = 64,923.59/351.19
  6. Step 6: Final answer
    x = 184.87

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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.