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Finding the Fourth Proportional to 189.47, 285.65 and 176.27

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Solution

The fourth proportional to 189.47, 285.65 and 176.27 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 285.65 = 176.27 : x
  2. Step 2: Convert to fraction form
    189.47/285.65 = 176.27/x
  3. Step 3: Cross multiply
    189.47x = 285.65 × 176.27
  4. Step 4: Simplify right side
    189.47x = 50,350.54
  5. Step 5: Solve for x
    x = 50,350.54/189.47
  6. Step 6: Final answer
    x = 265.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.