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Finding the Fourth Proportional to 191.40, 285.42 and 176.44

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Solution

The fourth proportional to 191.40, 285.42 and 176.44 is: 263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.40 : 285.42 = 176.44 : x
  2. Step 2: Convert to fraction form
    191.40/285.42 = 176.44/x
  3. Step 3: Cross multiply
    191.40x = 285.42 × 176.44
  4. Step 4: Simplify right side
    191.40x = 50,359.50
  5. Step 5: Solve for x
    x = 50,359.50/191.40
  6. Step 6: Final answer
    x = 263.11

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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.