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Finding the Fourth Proportional to 532.10, 798 and 257.66

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Solution

The fourth proportional to 532.10, 798 and 257.66 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 798 = 257.66 : x
  2. Step 2: Convert to fraction form
    532.10/798 = 257.66/x
  3. Step 3: Cross multiply
    532.10x = 798 × 257.66
  4. Step 4: Simplify right side
    532.10x = 205,612.68
  5. Step 5: Solve for x
    x = 205,612.68/532.10
  6. Step 6: Final answer
    x = 386.42

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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.