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Finding the Fourth Proportional to 191.57, 264.13 and 156.57

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Solution

The fourth proportional to 191.57, 264.13 and 156.57 is: 215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 264.13 = 156.57 : x
  2. Step 2: Convert to fraction form
    191.57/264.13 = 156.57/x
  3. Step 3: Cross multiply
    191.57x = 264.13 × 156.57
  4. Step 4: Simplify right side
    191.57x = 41,354.83
  5. Step 5: Solve for x
    x = 41,354.83/191.57
  6. Step 6: Final answer
    x = 215.87

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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.