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Finding the Fourth Proportional to 392.36, 588.15 and 358.54

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Solution

The fourth proportional to 392.36, 588.15 and 358.54 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 588.15 = 358.54 : x
  2. Step 2: Convert to fraction form
    392.36/588.15 = 358.54/x
  3. Step 3: Cross multiply
    392.36x = 588.15 × 358.54
  4. Step 4: Simplify right side
    392.36x = 210,873.83
  5. Step 5: Solve for x
    x = 210,873.83/392.36
  6. Step 6: Final answer
    x = 537.46

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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.