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Finding the Fourth Proportional to 391.02, 587.13 and 304.55

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Solution

The fourth proportional to 391.02, 587.13 and 304.55 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.02 : 587.13 = 304.55 : x
  2. Step 2: Convert to fraction form
    391.02/587.13 = 304.55/x
  3. Step 3: Cross multiply
    391.02x = 587.13 × 304.55
  4. Step 4: Simplify right side
    391.02x = 178,810.44
  5. Step 5: Solve for x
    x = 178,810.44/391.02
  6. Step 6: Final answer
    x = 457.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.