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Finding the Fourth Proportional to 191.68, 286.49 and 176.30

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Solution

The fourth proportional to 191.68, 286.49 and 176.30 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.68 : 286.49 = 176.30 : x
  2. Step 2: Convert to fraction form
    191.68/286.49 = 176.30/x
  3. Step 3: Cross multiply
    191.68x = 286.49 × 176.30
  4. Step 4: Simplify right side
    191.68x = 50,508.19
  5. Step 5: Solve for x
    x = 50,508.19/191.68
  6. Step 6: Final answer
    x = 263.50

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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.