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Finding the Fourth Proportional to 531.34, 796.94 and 257.42

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Solution

The fourth proportional to 531.34, 796.94 and 257.42 is: 386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.34 : 796.94 = 257.42 : x
  2. Step 2: Convert to fraction form
    531.34/796.94 = 257.42/x
  3. Step 3: Cross multiply
    531.34x = 796.94 × 257.42
  4. Step 4: Simplify right side
    531.34x = 205,148.29
  5. Step 5: Solve for x
    x = 205,148.29/531.34
  6. Step 6: Final answer
    x = 386.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.