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Finding the Fourth Proportional to 400.68, 603.32 and 293.22

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Solution

The fourth proportional to 400.68, 603.32 and 293.22 is: 441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.68 : 603.32 = 293.22 : x
  2. Step 2: Convert to fraction form
    400.68/603.32 = 293.22/x
  3. Step 3: Cross multiply
    400.68x = 603.32 × 293.22
  4. Step 4: Simplify right side
    400.68x = 176,904.02
  5. Step 5: Solve for x
    x = 176,904.02/400.68
  6. Step 6: Final answer
    x = 441.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.