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Finding the Fourth Proportional to 386.42, 532.50 and 255.20

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Solution

The fourth proportional to 386.42, 532.50 and 255.20 is: 351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 532.50 = 255.20 : x
  2. Step 2: Convert to fraction form
    386.42/532.50 = 255.20/x
  3. Step 3: Cross multiply
    386.42x = 532.50 × 255.20
  4. Step 4: Simplify right side
    386.42x = 135,891.34
  5. Step 5: Solve for x
    x = 135,891.34/386.42
  6. Step 6: Final answer
    x = 351.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.