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Finding the Fourth Proportional to 191.07, 284.78 and 180.81

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Solution

The fourth proportional to 191.07, 284.78 and 180.81 is: 269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.07 : 284.78 = 180.81 : x
  2. Step 2: Convert to fraction form
    191.07/284.78 = 180.81/x
  3. Step 3: Cross multiply
    191.07x = 284.78 × 180.81
  4. Step 4: Simplify right side
    191.07x = 51,491.52
  5. Step 5: Solve for x
    x = 51,491.52/191.07
  6. Step 6: Final answer
    x = 269.49

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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.