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Finding the Fourth Proportional to 302.80, 417.67 and 273.07

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Solution

The fourth proportional to 302.80, 417.67 and 273.07 is: 376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 417.67 = 273.07 : x
  2. Step 2: Convert to fraction form
    302.80/417.67 = 273.07/x
  3. Step 3: Cross multiply
    302.80x = 417.67 × 273.07
  4. Step 4: Simplify right side
    302.80x = 114,053.15
  5. Step 5: Solve for x
    x = 114,053.15/302.80
  6. Step 6: Final answer
    x = 376.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.