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Finding the Fourth Proportional to 391.10, 586.93 and 371.02

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Solution

The fourth proportional to 391.10, 586.93 and 371.02 is: 556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.10 : 586.93 = 371.02 : x
  2. Step 2: Convert to fraction form
    391.10/586.93 = 371.02/x
  3. Step 3: Cross multiply
    391.10x = 586.93 × 371.02
  4. Step 4: Simplify right side
    391.10x = 217,762.77
  5. Step 5: Solve for x
    x = 217,762.77/391.10
  6. Step 6: Final answer
    x = 556.80

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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.