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Finding the Fourth Proportional to 392.62, 589.03 and 118.72

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Solution

The fourth proportional to 392.62, 589.03 and 118.72 is: 178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 589.03 = 118.72 : x
  2. Step 2: Convert to fraction form
    392.62/589.03 = 118.72/x
  3. Step 3: Cross multiply
    392.62x = 589.03 × 118.72
  4. Step 4: Simplify right side
    392.62x = 69,928.32
  5. Step 5: Solve for x
    x = 69,928.32/392.62
  6. Step 6: Final answer
    x = 178.11

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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.