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Finding the Fourth Proportional to 251.29, 376.02 and 189.93

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Solution

The fourth proportional to 251.29, 376.02 and 189.93 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.29 : 376.02 = 189.93 : x
  2. Step 2: Convert to fraction form
    251.29/376.02 = 189.93/x
  3. Step 3: Cross multiply
    251.29x = 376.02 × 189.93
  4. Step 4: Simplify right side
    251.29x = 71,417.48
  5. Step 5: Solve for x
    x = 71,417.48/251.29
  6. Step 6: Final answer
    x = 284.20

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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.