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Finding the Fourth Proportional to 362.51, 542.71 and 270.37

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Solution

The fourth proportional to 362.51, 542.71 and 270.37 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.51 : 542.71 = 270.37 : x
  2. Step 2: Convert to fraction form
    362.51/542.71 = 270.37/x
  3. Step 3: Cross multiply
    362.51x = 542.71 × 270.37
  4. Step 4: Simplify right side
    362.51x = 146,732.50
  5. Step 5: Solve for x
    x = 146,732.50/362.51
  6. Step 6: Final answer
    x = 404.77

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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.