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Finding the Fourth Proportional to 388.25, 581.95 and 342.71

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Solution

The fourth proportional to 388.25, 581.95 and 342.71 is: 513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.25 : 581.95 = 342.71 : x
  2. Step 2: Convert to fraction form
    388.25/581.95 = 342.71/x
  3. Step 3: Cross multiply
    388.25x = 581.95 × 342.71
  4. Step 4: Simplify right side
    388.25x = 199,439.23
  5. Step 5: Solve for x
    x = 199,439.23/388.25
  6. Step 6: Final answer
    x = 513.69

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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.