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Finding the Fourth Proportional to 115.64, 160.42 and 109.49

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Solution

The fourth proportional to 115.64, 160.42 and 109.49 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 160.42 = 109.49 : x
  2. Step 2: Convert to fraction form
    115.64/160.42 = 109.49/x
  3. Step 3: Cross multiply
    115.64x = 160.42 × 109.49
  4. Step 4: Simplify right side
    115.64x = 17,564.51
  5. Step 5: Solve for x
    x = 17,564.51/115.64
  6. Step 6: Final answer
    x = 151.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.