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Finding the Fourth Proportional to 466.15, 643.34 and 279.74

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Solution

The fourth proportional to 466.15, 643.34 and 279.74 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.15 : 643.34 = 279.74 : x
  2. Step 2: Convert to fraction form
    466.15/643.34 = 279.74/x
  3. Step 3: Cross multiply
    466.15x = 643.34 × 279.74
  4. Step 4: Simplify right side
    466.15x = 179,970.24
  5. Step 5: Solve for x
    x = 179,970.24/466.15
  6. Step 6: Final answer
    x = 386.08

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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.