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Finding the Fourth Proportional to 395.71, 596.35 and 377.19

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Solution

The fourth proportional to 395.71, 596.35 and 377.19 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.71 : 596.35 = 377.19 : x
  2. Step 2: Convert to fraction form
    395.71/596.35 = 377.19/x
  3. Step 3: Cross multiply
    395.71x = 596.35 × 377.19
  4. Step 4: Simplify right side
    395.71x = 224,937.26
  5. Step 5: Solve for x
    x = 224,937.26/395.71
  6. Step 6: Final answer
    x = 568.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.