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Finding the Fourth Proportional to 392.61, 586.05 and 364.06

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Solution

The fourth proportional to 392.61, 586.05 and 364.06 is: 543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 586.05 = 364.06 : x
  2. Step 2: Convert to fraction form
    392.61/586.05 = 364.06/x
  3. Step 3: Cross multiply
    392.61x = 586.05 × 364.06
  4. Step 4: Simplify right side
    392.61x = 213,358.78
  5. Step 5: Solve for x
    x = 213,358.78/392.61
  6. Step 6: Final answer
    x = 543.43

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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.