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Finding the Fourth Proportional to 249.19, 374.47 and 233.64

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Solution

The fourth proportional to 249.19, 374.47 and 233.64 is: 351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 374.47 = 233.64 : x
  2. Step 2: Convert to fraction form
    249.19/374.47 = 233.64/x
  3. Step 3: Cross multiply
    249.19x = 374.47 × 233.64
  4. Step 4: Simplify right side
    249.19x = 87,490.59
  5. Step 5: Solve for x
    x = 87,490.59/249.19
  6. Step 6: Final answer
    x = 351.10

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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.