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Finding the Fourth Proportional to 235.80, 353.00 and 175.21

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Solution

The fourth proportional to 235.80, 353.00 and 175.21 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 353.00 = 175.21 : x
  2. Step 2: Convert to fraction form
    235.80/353.00 = 175.21/x
  3. Step 3: Cross multiply
    235.80x = 353.00 × 175.21
  4. Step 4: Simplify right side
    235.80x = 61,848.69
  5. Step 5: Solve for x
    x = 61,848.69/235.80
  6. Step 6: Final answer
    x = 262.29

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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.