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Finding the Fourth Proportional to 189.37, 282.67 and 162.49

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Solution

The fourth proportional to 189.37, 282.67 and 162.49 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 282.67 = 162.49 : x
  2. Step 2: Convert to fraction form
    189.37/282.67 = 162.49/x
  3. Step 3: Cross multiply
    189.37x = 282.67 × 162.49
  4. Step 4: Simplify right side
    189.37x = 45,931.45
  5. Step 5: Solve for x
    x = 45,931.45/189.37
  6. Step 6: Final answer
    x = 242.55

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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.