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Finding the Fourth Proportional to 483.76, 724.44 and 266.32

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Solution

The fourth proportional to 483.76, 724.44 and 266.32 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 724.44 = 266.32 : x
  2. Step 2: Convert to fraction form
    483.76/724.44 = 266.32/x
  3. Step 3: Cross multiply
    483.76x = 724.44 × 266.32
  4. Step 4: Simplify right side
    483.76x = 192,932.86
  5. Step 5: Solve for x
    x = 192,932.86/483.76
  6. Step 6: Final answer
    x = 398.82

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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.