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Finding the Fourth Proportional to 392.16, 585.23 and 351.17

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Solution

The fourth proportional to 392.16, 585.23 and 351.17 is: 524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 585.23 = 351.17 : x
  2. Step 2: Convert to fraction form
    392.16/585.23 = 351.17/x
  3. Step 3: Cross multiply
    392.16x = 585.23 × 351.17
  4. Step 4: Simplify right side
    392.16x = 205,515.22
  5. Step 5: Solve for x
    x = 205,515.22/392.16
  6. Step 6: Final answer
    x = 524.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.