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Finding the Fourth Proportional to 115.90, 160.15 and 91.07

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Solution

The fourth proportional to 115.90, 160.15 and 91.07 is: 125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.90 : 160.15 = 91.07 : x
  2. Step 2: Convert to fraction form
    115.90/160.15 = 91.07/x
  3. Step 3: Cross multiply
    115.90x = 160.15 × 91.07
  4. Step 4: Simplify right side
    115.90x = 14,584.60
  5. Step 5: Solve for x
    x = 14,584.60/115.90
  6. Step 6: Final answer
    x = 125.84

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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.