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Finding the Fourth Proportional to 189.72, 282.21 and 185.16

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Solution

The fourth proportional to 189.72, 282.21 and 185.16 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 282.21 = 185.16 : x
  2. Step 2: Convert to fraction form
    189.72/282.21 = 185.16/x
  3. Step 3: Cross multiply
    189.72x = 282.21 × 185.16
  4. Step 4: Simplify right side
    189.72x = 52,254.00
  5. Step 5: Solve for x
    x = 52,254.00/189.72
  6. Step 6: Final answer
    x = 275.43

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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.