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Finding the Fourth Proportional to 362.27, 543.54 and 143

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Solution

The fourth proportional to 362.27, 543.54 and 143 is: 214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.27 : 543.54 = 143 : x
  2. Step 2: Convert to fraction form
    362.27/543.54 = 143/x
  3. Step 3: Cross multiply
    362.27x = 543.54 × 143
  4. Step 4: Simplify right side
    362.27x = 77,726.22
  5. Step 5: Solve for x
    x = 77,726.22/362.27
  6. Step 6: Final answer
    x = 214.55

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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.