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Finding the Fourth Proportional to 532, 797.22 and 257.76

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Solution

The fourth proportional to 532, 797.22 and 257.76 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 797.22 = 257.76 : x
  2. Step 2: Convert to fraction form
    532/797.22 = 257.76/x
  3. Step 3: Cross multiply
    532x = 797.22 × 257.76
  4. Step 4: Simplify right side
    532x = 205,491.43
  5. Step 5: Solve for x
    x = 205,491.43/532
  6. Step 6: Final answer
    x = 386.26

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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.