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Finding the Fourth Proportional to 191.57, 264.40 and 133.31

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Solution

The fourth proportional to 191.57, 264.40 and 133.31 is: 184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 264.40 = 133.31 : x
  2. Step 2: Convert to fraction form
    191.57/264.40 = 133.31/x
  3. Step 3: Cross multiply
    191.57x = 264.40 × 133.31
  4. Step 4: Simplify right side
    191.57x = 35,247.49
  5. Step 5: Solve for x
    x = 35,247.49/191.57
  6. Step 6: Final answer
    x = 184.00

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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.