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Finding the Fourth Proportional to 534.18, 801.66 and 277.86

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Solution

The fourth proportional to 534.18, 801.66 and 277.86 is: 416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.18 : 801.66 = 277.86 : x
  2. Step 2: Convert to fraction form
    534.18/801.66 = 277.86/x
  3. Step 3: Cross multiply
    534.18x = 801.66 × 277.86
  4. Step 4: Simplify right side
    534.18x = 222,749.25
  5. Step 5: Solve for x
    x = 222,749.25/534.18
  6. Step 6: Final answer
    x = 416.99

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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.