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Finding the Fourth Proportional to 117.28, 160.85 and 114.58

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Solution

The fourth proportional to 117.28, 160.85 and 114.58 is: 157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 160.85 = 114.58 : x
  2. Step 2: Convert to fraction form
    117.28/160.85 = 114.58/x
  3. Step 3: Cross multiply
    117.28x = 160.85 × 114.58
  4. Step 4: Simplify right side
    117.28x = 18,430.19
  5. Step 5: Solve for x
    x = 18,430.19/117.28
  6. Step 6: Final answer
    x = 157.15

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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.