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Finding the Fourth Proportional to 189.84, 285.48 and 159.84

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Solution

The fourth proportional to 189.84, 285.48 and 159.84 is: 240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 285.48 = 159.84 : x
  2. Step 2: Convert to fraction form
    189.84/285.48 = 159.84/x
  3. Step 3: Cross multiply
    189.84x = 285.48 × 159.84
  4. Step 4: Simplify right side
    189.84x = 45,631.12
  5. Step 5: Solve for x
    x = 45,631.12/189.84
  6. Step 6: Final answer
    x = 240.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.