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Finding the Fourth Proportional to 117.39, 160.58 and 115.60

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Solution

The fourth proportional to 117.39, 160.58 and 115.60 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.39 : 160.58 = 115.60 : x
  2. Step 2: Convert to fraction form
    117.39/160.58 = 115.60/x
  3. Step 3: Cross multiply
    117.39x = 160.58 × 115.60
  4. Step 4: Simplify right side
    117.39x = 18,563.05
  5. Step 5: Solve for x
    x = 18,563.05/117.39
  6. Step 6: Final answer
    x = 158.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.