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Finding the Fourth Proportional to 508.51, 762.78 and 200.35

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Solution

The fourth proportional to 508.51, 762.78 and 200.35 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.51 : 762.78 = 200.35 : x
  2. Step 2: Convert to fraction form
    508.51/762.78 = 200.35/x
  3. Step 3: Cross multiply
    508.51x = 762.78 × 200.35
  4. Step 4: Simplify right side
    508.51x = 152,822.97
  5. Step 5: Solve for x
    x = 152,822.97/508.51
  6. Step 6: Final answer
    x = 300.53

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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.