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Finding the Fourth Proportional to 99.61, 149.41 and 35.48

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Solution

The fourth proportional to 99.61, 149.41 and 35.48 is: 53.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.61 : 149.41 = 35.48 : x
  2. Step 2: Convert to fraction form
    99.61/149.41 = 35.48/x
  3. Step 3: Cross multiply
    99.61x = 149.41 × 35.48
  4. Step 4: Simplify right side
    99.61x = 5,301.07
  5. Step 5: Solve for x
    x = 5,301.07/99.61
  6. Step 6: Final answer
    x = 53.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.