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Finding the Fourth Proportional to 466.22, 643.40 and 256.40

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Solution

The fourth proportional to 466.22, 643.40 and 256.40 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 643.40 = 256.40 : x
  2. Step 2: Convert to fraction form
    466.22/643.40 = 256.40/x
  3. Step 3: Cross multiply
    466.22x = 643.40 × 256.40
  4. Step 4: Simplify right side
    466.22x = 164,969.85
  5. Step 5: Solve for x
    x = 164,969.85/466.22
  6. Step 6: Final answer
    x = 353.84

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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.