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Finding the Fourth Proportional to 466.50, 643.80 and 256.70

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Solution

The fourth proportional to 466.50, 643.80 and 256.70 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.80 = 256.70 : x
  2. Step 2: Convert to fraction form
    466.50/643.80 = 256.70/x
  3. Step 3: Cross multiply
    466.50x = 643.80 × 256.70
  4. Step 4: Simplify right side
    466.50x = 165,260.24
  5. Step 5: Solve for x
    x = 165,260.24/466.50
  6. Step 6: Final answer
    x = 354.26

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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.