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Finding the Fourth Proportional to 531.15, 797.06 and 257.43

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Solution

The fourth proportional to 531.15, 797.06 and 257.43 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.15 : 797.06 = 257.43 : x
  2. Step 2: Convert to fraction form
    531.15/797.06 = 257.43/x
  3. Step 3: Cross multiply
    531.15x = 797.06 × 257.43
  4. Step 4: Simplify right side
    531.15x = 205,187.16
  5. Step 5: Solve for x
    x = 205,187.16/531.15
  6. Step 6: Final answer
    x = 386.31

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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.