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Finding the Fourth Proportional to 391.84, 585.02 and 351.74

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Solution

The fourth proportional to 391.84, 585.02 and 351.74 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 585.02 = 351.74 : x
  2. Step 2: Convert to fraction form
    391.84/585.02 = 351.74/x
  3. Step 3: Cross multiply
    391.84x = 585.02 × 351.74
  4. Step 4: Simplify right side
    391.84x = 205,777.28
  5. Step 5: Solve for x
    x = 205,777.28/391.84
  6. Step 6: Final answer
    x = 525.16

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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.