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Finding the Fourth Proportional to 391.63, 585.81 and 362.47

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Solution

The fourth proportional to 391.63, 585.81 and 362.47 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.63 : 585.81 = 362.47 : x
  2. Step 2: Convert to fraction form
    391.63/585.81 = 362.47/x
  3. Step 3: Cross multiply
    391.63x = 585.81 × 362.47
  4. Step 4: Simplify right side
    391.63x = 212,338.55
  5. Step 5: Solve for x
    x = 212,338.55/391.63
  6. Step 6: Final answer
    x = 542.19

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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.