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Finding the Fourth Proportional to 293.83, 403.34 and 261.03

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Solution

The fourth proportional to 293.83, 403.34 and 261.03 is: 358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.83 : 403.34 = 261.03 : x
  2. Step 2: Convert to fraction form
    293.83/403.34 = 261.03/x
  3. Step 3: Cross multiply
    293.83x = 403.34 × 261.03
  4. Step 4: Simplify right side
    293.83x = 105,283.84
  5. Step 5: Solve for x
    x = 105,283.84/293.83
  6. Step 6: Final answer
    x = 358.32

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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.