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Finding the Fourth Proportional to 235.64, 352.38 and 203.24

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Solution

The fourth proportional to 235.64, 352.38 and 203.24 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 352.38 = 203.24 : x
  2. Step 2: Convert to fraction form
    235.64/352.38 = 203.24/x
  3. Step 3: Cross multiply
    235.64x = 352.38 × 203.24
  4. Step 4: Simplify right side
    235.64x = 71,617.71
  5. Step 5: Solve for x
    x = 71,617.71/235.64
  6. Step 6: Final answer
    x = 303.93

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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.