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Finding the Fourth Proportional to 362.88, 547.05 and 339.39

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Solution

The fourth proportional to 362.88, 547.05 and 339.39 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 547.05 = 339.39 : x
  2. Step 2: Convert to fraction form
    362.88/547.05 = 339.39/x
  3. Step 3: Cross multiply
    362.88x = 547.05 × 339.39
  4. Step 4: Simplify right side
    362.88x = 185,664.57
  5. Step 5: Solve for x
    x = 185,664.57/362.88
  6. Step 6: Final answer
    x = 511.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.