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Finding the Fourth Proportional to 539.52, 808.74 and 265.20

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Solution

The fourth proportional to 539.52, 808.74 and 265.20 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.52 : 808.74 = 265.20 : x
  2. Step 2: Convert to fraction form
    539.52/808.74 = 265.20/x
  3. Step 3: Cross multiply
    539.52x = 808.74 × 265.20
  4. Step 4: Simplify right side
    539.52x = 214,477.85
  5. Step 5: Solve for x
    x = 214,477.85/539.52
  6. Step 6: Final answer
    x = 397.53

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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.