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Finding the Fourth Proportional to 480.06, 720.36 and 263.52

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Solution

The fourth proportional to 480.06, 720.36 and 263.52 is: 395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.06 : 720.36 = 263.52 : x
  2. Step 2: Convert to fraction form
    480.06/720.36 = 263.52/x
  3. Step 3: Cross multiply
    480.06x = 720.36 × 263.52
  4. Step 4: Simplify right side
    480.06x = 189,829.27
  5. Step 5: Solve for x
    x = 189,829.27/480.06
  6. Step 6: Final answer
    x = 395.43

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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.