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Finding the Fourth Proportional to 551.78, 761.46 and 355.55

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Solution

The fourth proportional to 551.78, 761.46 and 355.55 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.78 : 761.46 = 355.55 : x
  2. Step 2: Convert to fraction form
    551.78/761.46 = 355.55/x
  3. Step 3: Cross multiply
    551.78x = 761.46 × 355.55
  4. Step 4: Simplify right side
    551.78x = 270,733.30
  5. Step 5: Solve for x
    x = 270,733.30/551.78
  6. Step 6: Final answer
    x = 490.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.