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Finding the Fourth Proportional to 210.78, 314.01 and 200.99

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Solution

The fourth proportional to 210.78, 314.01 and 200.99 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 314.01 = 200.99 : x
  2. Step 2: Convert to fraction form
    210.78/314.01 = 200.99/x
  3. Step 3: Cross multiply
    210.78x = 314.01 × 200.99
  4. Step 4: Simplify right side
    210.78x = 63,113.65
  5. Step 5: Solve for x
    x = 63,113.65/210.78
  6. Step 6: Final answer
    x = 299.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.