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Finding the Fourth Proportional to 191.45, 264.08 and 166.94

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Solution

The fourth proportional to 191.45, 264.08 and 166.94 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.45 : 264.08 = 166.94 : x
  2. Step 2: Convert to fraction form
    191.45/264.08 = 166.94/x
  3. Step 3: Cross multiply
    191.45x = 264.08 × 166.94
  4. Step 4: Simplify right side
    191.45x = 44,085.34
  5. Step 5: Solve for x
    x = 44,085.34/191.45
  6. Step 6: Final answer
    x = 230.28

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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.