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Finding the Fourth Proportional to 534.77, 801.83 and 256.99

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Solution

The fourth proportional to 534.77, 801.83 and 256.99 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 801.83 = 256.99 : x
  2. Step 2: Convert to fraction form
    534.77/801.83 = 256.99/x
  3. Step 3: Cross multiply
    534.77x = 801.83 × 256.99
  4. Step 4: Simplify right side
    534.77x = 206,058.28
  5. Step 5: Solve for x
    x = 206,058.28/534.77
  6. Step 6: Final answer
    x = 385.32

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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.