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Finding the Fourth Proportional to 392.96, 586.60 and 364.47

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Solution

The fourth proportional to 392.96, 586.60 and 364.47 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 586.60 = 364.47 : x
  2. Step 2: Convert to fraction form
    392.96/586.60 = 364.47/x
  3. Step 3: Cross multiply
    392.96x = 586.60 × 364.47
  4. Step 4: Simplify right side
    392.96x = 213,794.99
  5. Step 5: Solve for x
    x = 213,794.99/392.96
  6. Step 6: Final answer
    x = 544.06

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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.