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Finding the Fourth Proportional to 392.40, 585.79 and 365.07

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Solution

The fourth proportional to 392.40, 585.79 and 365.07 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 585.79 = 365.07 : x
  2. Step 2: Convert to fraction form
    392.40/585.79 = 365.07/x
  3. Step 3: Cross multiply
    392.40x = 585.79 × 365.07
  4. Step 4: Simplify right side
    392.40x = 213,854.36
  5. Step 5: Solve for x
    x = 213,854.36/392.40
  6. Step 6: Final answer
    x = 544.99

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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.