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Finding the Fourth Proportional to 210.24, 313.31 and 201.24

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Solution

The fourth proportional to 210.24, 313.31 and 201.24 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 313.31 = 201.24 : x
  2. Step 2: Convert to fraction form
    210.24/313.31 = 201.24/x
  3. Step 3: Cross multiply
    210.24x = 313.31 × 201.24
  4. Step 4: Simplify right side
    210.24x = 63,050.50
  5. Step 5: Solve for x
    x = 63,050.50/210.24
  6. Step 6: Final answer
    x = 299.90

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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.