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Finding the Fourth Proportional to 395.64, 596.61 and 339

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Solution

The fourth proportional to 395.64, 596.61 and 339 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 596.61 = 339 : x
  2. Step 2: Convert to fraction form
    395.64/596.61 = 339/x
  3. Step 3: Cross multiply
    395.64x = 596.61 × 339
  4. Step 4: Simplify right side
    395.64x = 202,250.79
  5. Step 5: Solve for x
    x = 202,250.79/395.64
  6. Step 6: Final answer
    x = 511.20

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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.