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Finding the Fourth Proportional to 395.47, 591.98 and 265.46

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Solution

The fourth proportional to 395.47, 591.98 and 265.46 is: 397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.47 : 591.98 = 265.46 : x
  2. Step 2: Convert to fraction form
    395.47/591.98 = 265.46/x
  3. Step 3: Cross multiply
    395.47x = 591.98 × 265.46
  4. Step 4: Simplify right side
    395.47x = 157,147.01
  5. Step 5: Solve for x
    x = 157,147.01/395.47
  6. Step 6: Final answer
    x = 397.37

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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.