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Finding the Fourth Proportional to 337.08, 465.24 and 220.64

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Solution

The fourth proportional to 337.08, 465.24 and 220.64 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.08 : 465.24 = 220.64 : x
  2. Step 2: Convert to fraction form
    337.08/465.24 = 220.64/x
  3. Step 3: Cross multiply
    337.08x = 465.24 × 220.64
  4. Step 4: Simplify right side
    337.08x = 102,650.55
  5. Step 5: Solve for x
    x = 102,650.55/337.08
  6. Step 6: Final answer
    x = 304.53

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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.