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Finding the Fourth Proportional to 392.68, 591.91 and 358.12

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Solution

The fourth proportional to 392.68, 591.91 and 358.12 is: 539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 591.91 = 358.12 : x
  2. Step 2: Convert to fraction form
    392.68/591.91 = 358.12/x
  3. Step 3: Cross multiply
    392.68x = 591.91 × 358.12
  4. Step 4: Simplify right side
    392.68x = 211,974.81
  5. Step 5: Solve for x
    x = 211,974.81/392.68
  6. Step 6: Final answer
    x = 539.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.