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Finding the Fourth Proportional to 210.74, 313.99 and 201.42

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Solution

The fourth proportional to 210.74, 313.99 and 201.42 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.74 : 313.99 = 201.42 : x
  2. Step 2: Convert to fraction form
    210.74/313.99 = 201.42/x
  3. Step 3: Cross multiply
    210.74x = 313.99 × 201.42
  4. Step 4: Simplify right side
    210.74x = 63,243.87
  5. Step 5: Solve for x
    x = 63,243.87/210.74
  6. Step 6: Final answer
    x = 300.10

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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.