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Finding the Fourth Proportional to 235.20, 323.36 and 210.07

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Solution

The fourth proportional to 235.20, 323.36 and 210.07 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.20 : 323.36 = 210.07 : x
  2. Step 2: Convert to fraction form
    235.20/323.36 = 210.07/x
  3. Step 3: Cross multiply
    235.20x = 323.36 × 210.07
  4. Step 4: Simplify right side
    235.20x = 67,928.24
  5. Step 5: Solve for x
    x = 67,928.24/235.20
  6. Step 6: Final answer
    x = 288.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.