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Finding the Fourth Proportional to 466.81, 644.16 and 256.94

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Solution

The fourth proportional to 466.81, 644.16 and 256.94 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.81 : 644.16 = 256.94 : x
  2. Step 2: Convert to fraction form
    466.81/644.16 = 256.94/x
  3. Step 3: Cross multiply
    466.81x = 644.16 × 256.94
  4. Step 4: Simplify right side
    466.81x = 165,510.47
  5. Step 5: Solve for x
    x = 165,510.47/466.81
  6. Step 6: Final answer
    x = 354.56

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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.