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Finding the Fourth Proportional to 337.21, 465.45 and 211.24

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Solution

The fourth proportional to 337.21, 465.45 and 211.24 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.21 : 465.45 = 211.24 : x
  2. Step 2: Convert to fraction form
    337.21/465.45 = 211.24/x
  3. Step 3: Cross multiply
    337.21x = 465.45 × 211.24
  4. Step 4: Simplify right side
    337.21x = 98,321.66
  5. Step 5: Solve for x
    x = 98,321.66/337.21
  6. Step 6: Final answer
    x = 291.57

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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.