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Finding the Fourth Proportional to 531.32, 797.37 and 257.36

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Solution

The fourth proportional to 531.32, 797.37 and 257.36 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 797.37 = 257.36 : x
  2. Step 2: Convert to fraction form
    531.32/797.37 = 257.36/x
  3. Step 3: Cross multiply
    531.32x = 797.37 × 257.36
  4. Step 4: Simplify right side
    531.32x = 205,211.14
  5. Step 5: Solve for x
    x = 205,211.14/531.32
  6. Step 6: Final answer
    x = 386.23

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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.