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Finding the Fourth Proportional to 539.49, 808.17 and 356.32

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Solution

The fourth proportional to 539.49, 808.17 and 356.32 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.49 : 808.17 = 356.32 : x
  2. Step 2: Convert to fraction form
    539.49/808.17 = 356.32/x
  3. Step 3: Cross multiply
    539.49x = 808.17 × 356.32
  4. Step 4: Simplify right side
    539.49x = 287,967.13
  5. Step 5: Solve for x
    x = 287,967.13/539.49
  6. Step 6: Final answer
    x = 533.78

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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.