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Finding the Fourth Proportional to 552.25, 761.95 and 355.87

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Solution

The fourth proportional to 552.25, 761.95 and 355.87 is: 491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 761.95 = 355.87 : x
  2. Step 2: Convert to fraction form
    552.25/761.95 = 355.87/x
  3. Step 3: Cross multiply
    552.25x = 761.95 × 355.87
  4. Step 4: Simplify right side
    552.25x = 271,156.61
  5. Step 5: Solve for x
    x = 271,156.61/552.25
  6. Step 6: Final answer
    x = 491.01

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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.