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Finding the Fourth Proportional to 189.83, 283.48 and 148.79

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Solution

The fourth proportional to 189.83, 283.48 and 148.79 is: 222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.83 : 283.48 = 148.79 : x
  2. Step 2: Convert to fraction form
    189.83/283.48 = 148.79/x
  3. Step 3: Cross multiply
    189.83x = 283.48 × 148.79
  4. Step 4: Simplify right side
    189.83x = 42,179.33
  5. Step 5: Solve for x
    x = 42,179.33/189.83
  6. Step 6: Final answer
    x = 222.19

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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.