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Finding the Fourth Proportional to 293.98, 440.82 and 147.57

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Solution

The fourth proportional to 293.98, 440.82 and 147.57 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 440.82 = 147.57 : x
  2. Step 2: Convert to fraction form
    293.98/440.82 = 147.57/x
  3. Step 3: Cross multiply
    293.98x = 440.82 × 147.57
  4. Step 4: Simplify right side
    293.98x = 65,051.81
  5. Step 5: Solve for x
    x = 65,051.81/293.98
  6. Step 6: Final answer
    x = 221.28

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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.