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Finding the Fourth Proportional to 392.63, 589 and 118.69

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Solution

The fourth proportional to 392.63, 589 and 118.69 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 589 = 118.69 : x
  2. Step 2: Convert to fraction form
    392.63/589 = 118.69/x
  3. Step 3: Cross multiply
    392.63x = 589 × 118.69
  4. Step 4: Simplify right side
    392.63x = 69,908.41
  5. Step 5: Solve for x
    x = 69,908.41/392.63
  6. Step 6: Final answer
    x = 178.05

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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.