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Finding the Fourth Proportional to 441.13, 661.41 and 210.08

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Solution

The fourth proportional to 441.13, 661.41 and 210.08 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.13 : 661.41 = 210.08 : x
  2. Step 2: Convert to fraction form
    441.13/661.41 = 210.08/x
  3. Step 3: Cross multiply
    441.13x = 661.41 × 210.08
  4. Step 4: Simplify right side
    441.13x = 138,949.01
  5. Step 5: Solve for x
    x = 138,949.01/441.13
  6. Step 6: Final answer
    x = 314.98

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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.