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Finding the Fourth Proportional to 360.32, 537.26 and 308.07

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Solution

The fourth proportional to 360.32, 537.26 and 308.07 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 537.26 = 308.07 : x
  2. Step 2: Convert to fraction form
    360.32/537.26 = 308.07/x
  3. Step 3: Cross multiply
    360.32x = 537.26 × 308.07
  4. Step 4: Simplify right side
    360.32x = 165,512.15
  5. Step 5: Solve for x
    x = 165,512.15/360.32
  6. Step 6: Final answer
    x = 459.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.