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Finding the Fourth Proportional to 533.96, 802.44 and 277.64

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Solution

The fourth proportional to 533.96, 802.44 and 277.64 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 802.44 = 277.64 : x
  2. Step 2: Convert to fraction form
    533.96/802.44 = 277.64/x
  3. Step 3: Cross multiply
    533.96x = 802.44 × 277.64
  4. Step 4: Simplify right side
    533.96x = 222,789.44
  5. Step 5: Solve for x
    x = 222,789.44/533.96
  6. Step 6: Final answer
    x = 417.24

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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.