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Finding the Fourth Proportional to 263.34, 394.61 and 117.07

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Solution

The fourth proportional to 263.34, 394.61 and 117.07 is: 175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 394.61 = 117.07 : x
  2. Step 2: Convert to fraction form
    263.34/394.61 = 117.07/x
  3. Step 3: Cross multiply
    263.34x = 394.61 × 117.07
  4. Step 4: Simplify right side
    263.34x = 46,195.42
  5. Step 5: Solve for x
    x = 46,195.42/263.34
  6. Step 6: Final answer
    x = 175.42

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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.