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Finding the Fourth Proportional to 189.58, 284.43 and 66.19

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Solution

The fourth proportional to 189.58, 284.43 and 66.19 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 284.43 = 66.19 : x
  2. Step 2: Convert to fraction form
    189.58/284.43 = 66.19/x
  3. Step 3: Cross multiply
    189.58x = 284.43 × 66.19
  4. Step 4: Simplify right side
    189.58x = 18,826.42
  5. Step 5: Solve for x
    x = 18,826.42/189.58
  6. Step 6: Final answer
    x = 99.31

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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.