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Finding the Fourth Proportional to 508.49, 762.22 and 200.22

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Solution

The fourth proportional to 508.49, 762.22 and 200.22 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 762.22 = 200.22 : x
  2. Step 2: Convert to fraction form
    508.49/762.22 = 200.22/x
  3. Step 3: Cross multiply
    508.49x = 762.22 × 200.22
  4. Step 4: Simplify right side
    508.49x = 152,612.80
  5. Step 5: Solve for x
    x = 152,612.80/508.49
  6. Step 6: Final answer
    x = 300.13

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1.5x scale

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.