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Finding the Fourth Proportional to 98.24, 135.63 and 61.45

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Solution

The fourth proportional to 98.24, 135.63 and 61.45 is: 84.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.63 = 61.45 : x
  2. Step 2: Convert to fraction form
    98.24/135.63 = 61.45/x
  3. Step 3: Cross multiply
    98.24x = 135.63 × 61.45
  4. Step 4: Simplify right side
    98.24x = 8,334.46
  5. Step 5: Solve for x
    x = 8,334.46/98.24
  6. Step 6: Final answer
    x = 84.84

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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.