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Finding the Fourth Proportional to 273.13, 409.77 and 90.58

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Solution

The fourth proportional to 273.13, 409.77 and 90.58 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 409.77 = 90.58 : x
  2. Step 2: Convert to fraction form
    273.13/409.77 = 90.58/x
  3. Step 3: Cross multiply
    273.13x = 409.77 × 90.58
  4. Step 4: Simplify right side
    273.13x = 37,114.46
  5. Step 5: Solve for x
    x = 37,114.46/273.13
  6. Step 6: Final answer
    x = 135.89

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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.