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Finding the Fourth Proportional to 189.24, 282.54 and 168.72

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Solution

The fourth proportional to 189.24, 282.54 and 168.72 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 282.54 = 168.72 : x
  2. Step 2: Convert to fraction form
    189.24/282.54 = 168.72/x
  3. Step 3: Cross multiply
    189.24x = 282.54 × 168.72
  4. Step 4: Simplify right side
    189.24x = 47,670.15
  5. Step 5: Solve for x
    x = 47,670.15/189.24
  6. Step 6: Final answer
    x = 251.90

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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.