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Finding the Fourth Proportional to 392.36, 589.81 and 316.17

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Solution

The fourth proportional to 392.36, 589.81 and 316.17 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 589.81 = 316.17 : x
  2. Step 2: Convert to fraction form
    392.36/589.81 = 316.17/x
  3. Step 3: Cross multiply
    392.36x = 589.81 × 316.17
  4. Step 4: Simplify right side
    392.36x = 186,480.23
  5. Step 5: Solve for x
    x = 186,480.23/392.36
  6. Step 6: Final answer
    x = 475.28

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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.