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Finding the Fourth Proportional to 293.53, 403.42 and 285.33

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Solution

The fourth proportional to 293.53, 403.42 and 285.33 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.53 : 403.42 = 285.33 : x
  2. Step 2: Convert to fraction form
    293.53/403.42 = 285.33/x
  3. Step 3: Cross multiply
    293.53x = 403.42 × 285.33
  4. Step 4: Simplify right side
    293.53x = 115,108.19
  5. Step 5: Solve for x
    x = 115,108.19/293.53
  6. Step 6: Final answer
    x = 392.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.