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Finding the Fourth Proportional to 391.40, 583.93 and 369.80

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Solution

The fourth proportional to 391.40, 583.93 and 369.80 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.40 : 583.93 = 369.80 : x
  2. Step 2: Convert to fraction form
    391.40/583.93 = 369.80/x
  3. Step 3: Cross multiply
    391.40x = 583.93 × 369.80
  4. Step 4: Simplify right side
    391.40x = 215,937.31
  5. Step 5: Solve for x
    x = 215,937.31/391.40
  6. Step 6: Final answer
    x = 551.70

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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.