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Finding the Fourth Proportional to 466.22, 643.39 and 279.87

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Solution

The fourth proportional to 466.22, 643.39 and 279.87 is: 386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 643.39 = 279.87 : x
  2. Step 2: Convert to fraction form
    466.22/643.39 = 279.87/x
  3. Step 3: Cross multiply
    466.22x = 643.39 × 279.87
  4. Step 4: Simplify right side
    466.22x = 180,064.86
  5. Step 5: Solve for x
    x = 180,064.86/466.22
  6. Step 6: Final answer
    x = 386.22

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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.