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Finding the Fourth Proportional to 531.30, 797.21 and 257.62

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Solution

The fourth proportional to 531.30, 797.21 and 257.62 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.30 : 797.21 = 257.62 : x
  2. Step 2: Convert to fraction form
    531.30/797.21 = 257.62/x
  3. Step 3: Cross multiply
    531.30x = 797.21 × 257.62
  4. Step 4: Simplify right side
    531.30x = 205,377.24
  5. Step 5: Solve for x
    x = 205,377.24/531.30
  6. Step 6: Final answer
    x = 386.56

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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.