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Finding the Fourth Proportional to 497.21, 686.15 and 273.15

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Solution

The fourth proportional to 497.21, 686.15 and 273.15 is: 376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 686.15 = 273.15 : x
  2. Step 2: Convert to fraction form
    497.21/686.15 = 273.15/x
  3. Step 3: Cross multiply
    497.21x = 686.15 × 273.15
  4. Step 4: Simplify right side
    497.21x = 187,421.87
  5. Step 5: Solve for x
    x = 187,421.87/497.21
  6. Step 6: Final answer
    x = 376.95

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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.