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Finding the Fourth Proportional to 337.72, 466.62 and 279.64

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Solution

The fourth proportional to 337.72, 466.62 and 279.64 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 466.62 = 279.64 : x
  2. Step 2: Convert to fraction form
    337.72/466.62 = 279.64/x
  3. Step 3: Cross multiply
    337.72x = 466.62 × 279.64
  4. Step 4: Simplify right side
    337.72x = 130,485.62
  5. Step 5: Solve for x
    x = 130,485.62/337.72
  6. Step 6: Final answer
    x = 386.37

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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.