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Finding the Fourth Proportional to 255.40, 351.68 and 200.08

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Solution

The fourth proportional to 255.40, 351.68 and 200.08 is: 275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.40 : 351.68 = 200.08 : x
  2. Step 2: Convert to fraction form
    255.40/351.68 = 200.08/x
  3. Step 3: Cross multiply
    255.40x = 351.68 × 200.08
  4. Step 4: Simplify right side
    255.40x = 70,364.13
  5. Step 5: Solve for x
    x = 70,364.13/255.40
  6. Step 6: Final answer
    x = 275.51

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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.