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Finding the Fourth Proportional to 360.24, 539.07 and 339.45

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Solution

The fourth proportional to 360.24, 539.07 and 339.45 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 539.07 = 339.45 : x
  2. Step 2: Convert to fraction form
    360.24/539.07 = 339.45/x
  3. Step 3: Cross multiply
    360.24x = 539.07 × 339.45
  4. Step 4: Simplify right side
    360.24x = 182,987.31
  5. Step 5: Solve for x
    x = 182,987.31/360.24
  6. Step 6: Final answer
    x = 507.96

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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.