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Finding the Fourth Proportional to 98.20, 135.52 and 56.19

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Solution

The fourth proportional to 98.20, 135.52 and 56.19 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 135.52 = 56.19 : x
  2. Step 2: Convert to fraction form
    98.20/135.52 = 56.19/x
  3. Step 3: Cross multiply
    98.20x = 135.52 × 56.19
  4. Step 4: Simplify right side
    98.20x = 7,614.87
  5. Step 5: Solve for x
    x = 7,614.87/98.20
  6. Step 6: Final answer
    x = 77.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.