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Finding the Fourth Proportional to 293.19, 439.45 and 195.58

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Solution

The fourth proportional to 293.19, 439.45 and 195.58 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.19 : 439.45 = 195.58 : x
  2. Step 2: Convert to fraction form
    293.19/439.45 = 195.58/x
  3. Step 3: Cross multiply
    293.19x = 439.45 × 195.58
  4. Step 4: Simplify right side
    293.19x = 85,946.39
  5. Step 5: Solve for x
    x = 85,946.39/293.19
  6. Step 6: Final answer
    x = 293.14

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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.