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Finding the Fourth Proportional to 466.50, 643.78 and 256.67

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Solution

The fourth proportional to 466.50, 643.78 and 256.67 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.78 = 256.67 : x
  2. Step 2: Convert to fraction form
    466.50/643.78 = 256.67/x
  3. Step 3: Cross multiply
    466.50x = 643.78 × 256.67
  4. Step 4: Simplify right side
    466.50x = 165,239.50
  5. Step 5: Solve for x
    x = 165,239.50/466.50
  6. Step 6: Final answer
    x = 354.21

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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.