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Finding the Fourth Proportional to 107.59, 161.35 and 39.08

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Solution

The fourth proportional to 107.59, 161.35 and 39.08 is: 58.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.59 : 161.35 = 39.08 : x
  2. Step 2: Convert to fraction form
    107.59/161.35 = 39.08/x
  3. Step 3: Cross multiply
    107.59x = 161.35 × 39.08
  4. Step 4: Simplify right side
    107.59x = 6,304.75
  5. Step 5: Solve for x
    x = 6,304.75/107.59
  6. Step 6: Final answer
    x = 58.60

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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.