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Finding the Fourth Proportional to 539.88, 808 and 378.30

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Solution

The fourth proportional to 539.88, 808 and 378.30 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 808 = 378.30 : x
  2. Step 2: Convert to fraction form
    539.88/808 = 378.30/x
  3. Step 3: Cross multiply
    539.88x = 808 × 378.30
  4. Step 4: Simplify right side
    539.88x = 305,666.40
  5. Step 5: Solve for x
    x = 305,666.40/539.88
  6. Step 6: Final answer
    x = 566.17

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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.