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Finding the Fourth Proportional to 293.73, 440.86 and 156.89

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Solution

The fourth proportional to 293.73, 440.86 and 156.89 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.73 : 440.86 = 156.89 : x
  2. Step 2: Convert to fraction form
    293.73/440.86 = 156.89/x
  3. Step 3: Cross multiply
    293.73x = 440.86 × 156.89
  4. Step 4: Simplify right side
    293.73x = 69,166.53
  5. Step 5: Solve for x
    x = 69,166.53/293.73
  6. Step 6: Final answer
    x = 235.48

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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.