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Finding the Fourth Proportional to 362.88, 547.56 and 347.90

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Solution

The fourth proportional to 362.88, 547.56 and 347.90 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 547.56 = 347.90 : x
  2. Step 2: Convert to fraction form
    362.88/547.56 = 347.90/x
  3. Step 3: Cross multiply
    362.88x = 547.56 × 347.90
  4. Step 4: Simplify right side
    362.88x = 190,493.39
  5. Step 5: Solve for x
    x = 190,493.39/362.88
  6. Step 6: Final answer
    x = 524.95

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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.