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Finding the Fourth Proportional to 531.23, 797.25 and 257.66

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Solution

The fourth proportional to 531.23, 797.25 and 257.66 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.23 : 797.25 = 257.66 : x
  2. Step 2: Convert to fraction form
    531.23/797.25 = 257.66/x
  3. Step 3: Cross multiply
    531.23x = 797.25 × 257.66
  4. Step 4: Simplify right side
    531.23x = 205,415.45
  5. Step 5: Solve for x
    x = 205,415.45/531.23
  6. Step 6: Final answer
    x = 386.68

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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.