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Finding the Fourth Proportional to 189.86, 283.52 and 159.19

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Solution

The fourth proportional to 189.86, 283.52 and 159.19 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 283.52 = 159.19 : x
  2. Step 2: Convert to fraction form
    189.86/283.52 = 159.19/x
  3. Step 3: Cross multiply
    189.86x = 283.52 × 159.19
  4. Step 4: Simplify right side
    189.86x = 45,133.24
  5. Step 5: Solve for x
    x = 45,133.24/189.86
  6. Step 6: Final answer
    x = 237.72

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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.