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Finding the Fourth Proportional to 107.40, 160.26 and 91.08

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Solution

The fourth proportional to 107.40, 160.26 and 91.08 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 160.26 = 91.08 : x
  2. Step 2: Convert to fraction form
    107.40/160.26 = 91.08/x
  3. Step 3: Cross multiply
    107.40x = 160.26 × 91.08
  4. Step 4: Simplify right side
    107.40x = 14,596.48
  5. Step 5: Solve for x
    x = 14,596.48/107.40
  6. Step 6: Final answer
    x = 135.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.