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Finding the Fourth Proportional to 250.80, 346.56 and 233.52

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Solution

The fourth proportional to 250.80, 346.56 and 233.52 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 346.56 = 233.52 : x
  2. Step 2: Convert to fraction form
    250.80/346.56 = 233.52/x
  3. Step 3: Cross multiply
    250.80x = 346.56 × 233.52
  4. Step 4: Simplify right side
    250.80x = 80,928.69
  5. Step 5: Solve for x
    x = 80,928.69/250.80
  6. Step 6: Final answer
    x = 322.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.