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Finding the Fourth Proportional to 502.22, 693.14 and 305.66

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Solution

The fourth proportional to 502.22, 693.14 and 305.66 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 693.14 = 305.66 : x
  2. Step 2: Convert to fraction form
    502.22/693.14 = 305.66/x
  3. Step 3: Cross multiply
    502.22x = 693.14 × 305.66
  4. Step 4: Simplify right side
    502.22x = 211,860.18
  5. Step 5: Solve for x
    x = 211,860.18/502.22
  6. Step 6: Final answer
    x = 421.85

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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.