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Finding the Fourth Proportional to 189.47, 285.80 and 178.23

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Solution

The fourth proportional to 189.47, 285.80 and 178.23 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 285.80 = 178.23 : x
  2. Step 2: Convert to fraction form
    189.47/285.80 = 178.23/x
  3. Step 3: Cross multiply
    189.47x = 285.80 × 178.23
  4. Step 4: Simplify right side
    189.47x = 50,938.31
  5. Step 5: Solve for x
    x = 50,938.31/189.47
  6. Step 6: Final answer
    x = 268.84

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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.