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Finding the Fourth Proportional to 466.46, 643.70 and 256.63

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Solution

The fourth proportional to 466.46, 643.70 and 256.63 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 643.70 = 256.63 : x
  2. Step 2: Convert to fraction form
    466.46/643.70 = 256.63/x
  3. Step 3: Cross multiply
    466.46x = 643.70 × 256.63
  4. Step 4: Simplify right side
    466.46x = 165,192.73
  5. Step 5: Solve for x
    x = 165,192.73/466.46
  6. Step 6: Final answer
    x = 354.14

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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.