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Finding the Fourth Proportional to 466.59, 643.90 and 256.79

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Solution

The fourth proportional to 466.59, 643.90 and 256.79 is: 354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 643.90 = 256.79 : x
  2. Step 2: Convert to fraction form
    466.59/643.90 = 256.79/x
  3. Step 3: Cross multiply
    466.59x = 643.90 × 256.79
  4. Step 4: Simplify right side
    466.59x = 165,347.08
  5. Step 5: Solve for x
    x = 165,347.08/466.59
  6. Step 6: Final answer
    x = 354.37

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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.