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Finding the Fourth Proportional to 255.42, 382.19 and 247.50

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Solution

The fourth proportional to 255.42, 382.19 and 247.50 is: 370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 382.19 = 247.50 : x
  2. Step 2: Convert to fraction form
    255.42/382.19 = 247.50/x
  3. Step 3: Cross multiply
    255.42x = 382.19 × 247.50
  4. Step 4: Simplify right side
    255.42x = 94,590.79
  5. Step 5: Solve for x
    x = 94,590.79/255.42
  6. Step 6: Final answer
    x = 370.33

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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.