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Finding the Fourth Proportional to 189.12, 282.15 and 173.46

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Solution

The fourth proportional to 189.12, 282.15 and 173.46 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 282.15 = 173.46 : x
  2. Step 2: Convert to fraction form
    189.12/282.15 = 173.46/x
  3. Step 3: Cross multiply
    189.12x = 282.15 × 173.46
  4. Step 4: Simplify right side
    189.12x = 48,941.74
  5. Step 5: Solve for x
    x = 48,941.74/189.12
  6. Step 6: Final answer
    x = 258.79

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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.