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Finding the Fourth Proportional to 392.02, 588.07 and 135.54

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Solution

The fourth proportional to 392.02, 588.07 and 135.54 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 588.07 = 135.54 : x
  2. Step 2: Convert to fraction form
    392.02/588.07 = 135.54/x
  3. Step 3: Cross multiply
    392.02x = 588.07 × 135.54
  4. Step 4: Simplify right side
    392.02x = 79,707.01
  5. Step 5: Solve for x
    x = 79,707.01/392.02
  6. Step 6: Final answer
    x = 203.32

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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.