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Finding the Fourth Proportional to 466.50, 643.74 and 256.68

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Solution

The fourth proportional to 466.50, 643.74 and 256.68 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.74 = 256.68 : x
  2. Step 2: Convert to fraction form
    466.50/643.74 = 256.68/x
  3. Step 3: Cross multiply
    466.50x = 643.74 × 256.68
  4. Step 4: Simplify right side
    466.50x = 165,235.18
  5. Step 5: Solve for x
    x = 165,235.18/466.50
  6. Step 6: Final answer
    x = 354.20

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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.