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Finding the Fourth Proportional to 191.24, 285.64 and 180.72

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Solution

The fourth proportional to 191.24, 285.64 and 180.72 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 285.64 = 180.72 : x
  2. Step 2: Convert to fraction form
    191.24/285.64 = 180.72/x
  3. Step 3: Cross multiply
    191.24x = 285.64 × 180.72
  4. Step 4: Simplify right side
    191.24x = 51,620.86
  5. Step 5: Solve for x
    x = 51,620.86/191.24
  6. Step 6: Final answer
    x = 269.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.