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Finding the Fourth Proportional to 362.29, 539.59 and 339.82

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Solution

The fourth proportional to 362.29, 539.59 and 339.82 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 539.59 = 339.82 : x
  2. Step 2: Convert to fraction form
    362.29/539.59 = 339.82/x
  3. Step 3: Cross multiply
    362.29x = 539.59 × 339.82
  4. Step 4: Simplify right side
    362.29x = 183,363.47
  5. Step 5: Solve for x
    x = 183,363.47/362.29
  6. Step 6: Final answer
    x = 506.12

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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.