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Finding the Fourth Proportional to 392.18, 585.65 and 369.40

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Solution

The fourth proportional to 392.18, 585.65 and 369.40 is: 551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 585.65 = 369.40 : x
  2. Step 2: Convert to fraction form
    392.18/585.65 = 369.40/x
  3. Step 3: Cross multiply
    392.18x = 585.65 × 369.40
  4. Step 4: Simplify right side
    392.18x = 216,337.18
  5. Step 5: Solve for x
    x = 216,337.18/392.18
  6. Step 6: Final answer
    x = 551.63

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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.