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Finding the Fourth Proportional to 469.71, 648.17 and 256.98

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Solution

The fourth proportional to 469.71, 648.17 and 256.98 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.71 : 648.17 = 256.98 : x
  2. Step 2: Convert to fraction form
    469.71/648.17 = 256.98/x
  3. Step 3: Cross multiply
    469.71x = 648.17 × 256.98
  4. Step 4: Simplify right side
    469.71x = 166,566.73
  5. Step 5: Solve for x
    x = 166,566.73/469.71
  6. Step 6: Final answer
    x = 354.62

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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.