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Finding the Fourth Proportional to 391.55, 585.08 and 298.49

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Solution

The fourth proportional to 391.55, 585.08 and 298.49 is: 446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.55 : 585.08 = 298.49 : x
  2. Step 2: Convert to fraction form
    391.55/585.08 = 298.49/x
  3. Step 3: Cross multiply
    391.55x = 585.08 × 298.49
  4. Step 4: Simplify right side
    391.55x = 174,642.74
  5. Step 5: Solve for x
    x = 174,642.74/391.55
  6. Step 6: Final answer
    x = 446.03

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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.