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Finding the Fourth Proportional to 391.54, 585.96 and 356.54

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Solution

The fourth proportional to 391.54, 585.96 and 356.54 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.54 : 585.96 = 356.54 : x
  2. Step 2: Convert to fraction form
    391.54/585.96 = 356.54/x
  3. Step 3: Cross multiply
    391.54x = 585.96 × 356.54
  4. Step 4: Simplify right side
    391.54x = 208,918.18
  5. Step 5: Solve for x
    x = 208,918.18/391.54
  6. Step 6: Final answer
    x = 533.58

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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.