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Finding the Fourth Proportional to 381.42, 569.39 and 347.40

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Solution

The fourth proportional to 381.42, 569.39 and 347.40 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 569.39 = 347.40 : x
  2. Step 2: Convert to fraction form
    381.42/569.39 = 347.40/x
  3. Step 3: Cross multiply
    381.42x = 569.39 × 347.40
  4. Step 4: Simplify right side
    381.42x = 197,804.35
  5. Step 5: Solve for x
    x = 197,804.35/381.42
  6. Step 6: Final answer
    x = 518.60

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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.