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Finding the Fourth Proportional to 118.94, 162.68 and 117.04

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Solution

The fourth proportional to 118.94, 162.68 and 117.04 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 162.68 = 117.04 : x
  2. Step 2: Convert to fraction form
    118.94/162.68 = 117.04/x
  3. Step 3: Cross multiply
    118.94x = 162.68 × 117.04
  4. Step 4: Simplify right side
    118.94x = 19,040.07
  5. Step 5: Solve for x
    x = 19,040.07/118.94
  6. Step 6: Final answer
    x = 160.08

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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.