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Finding the Fourth Proportional to 533.46, 801.69 and 277.14

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Solution

The fourth proportional to 533.46, 801.69 and 277.14 is: 416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 801.69 = 277.14 : x
  2. Step 2: Convert to fraction form
    533.46/801.69 = 277.14/x
  3. Step 3: Cross multiply
    533.46x = 801.69 × 277.14
  4. Step 4: Simplify right side
    533.46x = 222,180.37
  5. Step 5: Solve for x
    x = 222,180.37/533.46
  6. Step 6: Final answer
    x = 416.49

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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.