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Finding the Fourth Proportional to 366.47, 506.11 and 297.21

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Solution

The fourth proportional to 366.47, 506.11 and 297.21 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.47 : 506.11 = 297.21 : x
  2. Step 2: Convert to fraction form
    366.47/506.11 = 297.21/x
  3. Step 3: Cross multiply
    366.47x = 506.11 × 297.21
  4. Step 4: Simplify right side
    366.47x = 150,420.95
  5. Step 5: Solve for x
    x = 150,420.95/366.47
  6. Step 6: Final answer
    x = 410.46

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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.