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Finding the Fourth Proportional to 392.16, 585.48 and 378.72

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Solution

The fourth proportional to 392.16, 585.48 and 378.72 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 585.48 = 378.72 : x
  2. Step 2: Convert to fraction form
    392.16/585.48 = 378.72/x
  3. Step 3: Cross multiply
    392.16x = 585.48 × 378.72
  4. Step 4: Simplify right side
    392.16x = 221,732.99
  5. Step 5: Solve for x
    x = 221,732.99/392.16
  6. Step 6: Final answer
    x = 565.41

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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.