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Finding the Fourth Proportional to 189.98, 285.04 and 103.32

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Solution

The fourth proportional to 189.98, 285.04 and 103.32 is: 155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.98 : 285.04 = 103.32 : x
  2. Step 2: Convert to fraction form
    189.98/285.04 = 103.32/x
  3. Step 3: Cross multiply
    189.98x = 285.04 × 103.32
  4. Step 4: Simplify right side
    189.98x = 29,450.33
  5. Step 5: Solve for x
    x = 29,450.33/189.98
  6. Step 6: Final answer
    x = 155.02

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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.