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Finding the Fourth Proportional to 468.72, 646.20 and 337.32

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Solution

The fourth proportional to 468.72, 646.20 and 337.32 is: 465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.72 : 646.20 = 337.32 : x
  2. Step 2: Convert to fraction form
    468.72/646.20 = 337.32/x
  3. Step 3: Cross multiply
    468.72x = 646.20 × 337.32
  4. Step 4: Simplify right side
    468.72x = 217,976.18
  5. Step 5: Solve for x
    x = 217,976.18/468.72
  6. Step 6: Final answer
    x = 465.05

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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.