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Finding the Fourth Proportional to 395.64, 592.26 and 272.52

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Solution

The fourth proportional to 395.64, 592.26 and 272.52 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 592.26 = 272.52 : x
  2. Step 2: Convert to fraction form
    395.64/592.26 = 272.52/x
  3. Step 3: Cross multiply
    395.64x = 592.26 × 272.52
  4. Step 4: Simplify right side
    395.64x = 161,402.70
  5. Step 5: Solve for x
    x = 161,402.70/395.64
  6. Step 6: Final answer
    x = 407.95

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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.