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Finding the Fourth Proportional to 233.69, 349.99 and 160.31

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Solution

The fourth proportional to 233.69, 349.99 and 160.31 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 349.99 = 160.31 : x
  2. Step 2: Convert to fraction form
    233.69/349.99 = 160.31/x
  3. Step 3: Cross multiply
    233.69x = 349.99 × 160.31
  4. Step 4: Simplify right side
    233.69x = 56,107.37
  5. Step 5: Solve for x
    x = 56,107.37/233.69
  6. Step 6: Final answer
    x = 240.10

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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.