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Finding the Fourth Proportional to 189.42, 284.13 and 160.50

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Solution

The fourth proportional to 189.42, 284.13 and 160.50 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 284.13 = 160.50 : x
  2. Step 2: Convert to fraction form
    189.42/284.13 = 160.50/x
  3. Step 3: Cross multiply
    189.42x = 284.13 × 160.50
  4. Step 4: Simplify right side
    189.42x = 45,602.87
  5. Step 5: Solve for x
    x = 45,602.87/189.42
  6. Step 6: Final answer
    x = 240.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.