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Finding the Fourth Proportional to 98.00, 135.24 and 54.33

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Solution

The fourth proportional to 98.00, 135.24 and 54.33 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.00 : 135.24 = 54.33 : x
  2. Step 2: Convert to fraction form
    98.00/135.24 = 54.33/x
  3. Step 3: Cross multiply
    98.00x = 135.24 × 54.33
  4. Step 4: Simplify right side
    98.00x = 7,347.32
  5. Step 5: Solve for x
    x = 7,347.32/98.00
  6. Step 6: Final answer
    x = 74.98

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