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Finding the Fourth Proportional to 564.24, 778.20 and 356.88

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Solution

The fourth proportional to 564.24, 778.20 and 356.88 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 778.20 = 356.88 : x
  2. Step 2: Convert to fraction form
    564.24/778.20 = 356.88/x
  3. Step 3: Cross multiply
    564.24x = 778.20 × 356.88
  4. Step 4: Simplify right side
    564.24x = 277,724.02
  5. Step 5: Solve for x
    x = 277,724.02/564.24
  6. Step 6: Final answer
    x = 492.21

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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.