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Finding the Fourth Proportional to 320.30, 441.52 and 268.02

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Solution

The fourth proportional to 320.30, 441.52 and 268.02 is: 369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.30 : 441.52 = 268.02 : x
  2. Step 2: Convert to fraction form
    320.30/441.52 = 268.02/x
  3. Step 3: Cross multiply
    320.30x = 441.52 × 268.02
  4. Step 4: Simplify right side
    320.30x = 118,334.85
  5. Step 5: Solve for x
    x = 118,334.85/320.30
  6. Step 6: Final answer
    x = 369.45

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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.