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Finding the Fourth Proportional to 481.24, 664 and 284.77

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Solution

The fourth proportional to 481.24, 664 and 284.77 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.24 : 664 = 284.77 : x
  2. Step 2: Convert to fraction form
    481.24/664 = 284.77/x
  3. Step 3: Cross multiply
    481.24x = 664 × 284.77
  4. Step 4: Simplify right side
    481.24x = 189,087.28
  5. Step 5: Solve for x
    x = 189,087.28/481.24
  6. Step 6: Final answer
    x = 392.92

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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.