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Finding the Fourth Proportional to 350.40, 483.20 and 233.92

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Solution

The fourth proportional to 350.40, 483.20 and 233.92 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 483.20 = 233.92 : x
  2. Step 2: Convert to fraction form
    350.40/483.20 = 233.92/x
  3. Step 3: Cross multiply
    350.40x = 483.20 × 233.92
  4. Step 4: Simplify right side
    350.40x = 113,030.14
  5. Step 5: Solve for x
    x = 113,030.14/350.40
  6. Step 6: Final answer
    x = 322.57

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Why These Related Problems?

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