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Finding the Fourth Proportional to 189.78, 284.81 and 98.50

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Solution

The fourth proportional to 189.78, 284.81 and 98.50 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.81 = 98.50 : x
  2. Step 2: Convert to fraction form
    189.78/284.81 = 98.50/x
  3. Step 3: Cross multiply
    189.78x = 284.81 × 98.50
  4. Step 4: Simplify right side
    189.78x = 28,053.44
  5. Step 5: Solve for x
    x = 28,053.44/189.78
  6. Step 6: Final answer
    x = 147.82

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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.