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Finding the Fourth Proportional to 392.28, 585.51 and 346.15

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Solution

The fourth proportional to 392.28, 585.51 and 346.15 is: 516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 585.51 = 346.15 : x
  2. Step 2: Convert to fraction form
    392.28/585.51 = 346.15/x
  3. Step 3: Cross multiply
    392.28x = 585.51 × 346.15
  4. Step 4: Simplify right side
    392.28x = 202,674.29
  5. Step 5: Solve for x
    x = 202,674.29/392.28
  6. Step 6: Final answer
    x = 516.66

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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.