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Finding the Fourth Proportional to 391.60, 585.81 and 357.40

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Solution

The fourth proportional to 391.60, 585.81 and 357.40 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.60 : 585.81 = 357.40 : x
  2. Step 2: Convert to fraction form
    391.60/585.81 = 357.40/x
  3. Step 3: Cross multiply
    391.60x = 585.81 × 357.40
  4. Step 4: Simplify right side
    391.60x = 209,368.49
  5. Step 5: Solve for x
    x = 209,368.49/391.60
  6. Step 6: Final answer
    x = 534.65

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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.