Home / 191.24-262.33-180.20

Finding the Fourth Proportional to 191.24, 262.33 and 180.20

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Solution

The fourth proportional to 191.24, 262.33 and 180.20 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 262.33 = 180.20 : x
  2. Step 2: Convert to fraction form
    191.24/262.33 = 180.20/x
  3. Step 3: Cross multiply
    191.24x = 262.33 × 180.20
  4. Step 4: Simplify right side
    191.24x = 47,271.87
  5. Step 5: Solve for x
    x = 47,271.87/191.24
  6. Step 6: Final answer
    x = 247.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.