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Finding the Fourth Proportional to 191.83, 264.57 and 150.31

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Solution

The fourth proportional to 191.83, 264.57 and 150.31 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 264.57 = 150.31 : x
  2. Step 2: Convert to fraction form
    191.83/264.57 = 150.31/x
  3. Step 3: Cross multiply
    191.83x = 264.57 × 150.31
  4. Step 4: Simplify right side
    191.83x = 39,767.52
  5. Step 5: Solve for x
    x = 39,767.52/191.83
  6. Step 6: Final answer
    x = 207.31

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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.