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Finding the Fourth Proportional to 191.65, 264.52 and 118.03

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Solution

The fourth proportional to 191.65, 264.52 and 118.03 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.65 : 264.52 = 118.03 : x
  2. Step 2: Convert to fraction form
    191.65/264.52 = 118.03/x
  3. Step 3: Cross multiply
    191.65x = 264.52 × 118.03
  4. Step 4: Simplify right side
    191.65x = 31,220.78
  5. Step 5: Solve for x
    x = 31,220.78/191.65
  6. Step 6: Final answer
    x = 162.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.