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Finding the Fourth Proportional to 293.56, 440.59 and 139.59

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Solution

The fourth proportional to 293.56, 440.59 and 139.59 is: 209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 440.59 = 139.59 : x
  2. Step 2: Convert to fraction form
    293.56/440.59 = 139.59/x
  3. Step 3: Cross multiply
    293.56x = 440.59 × 139.59
  4. Step 4: Simplify right side
    293.56x = 61,501.96
  5. Step 5: Solve for x
    x = 61,501.96/293.56
  6. Step 6: Final answer
    x = 209.50

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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.