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Finding the Fourth Proportional to 302.91, 415.50 and 300.31

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Solution

The fourth proportional to 302.91, 415.50 and 300.31 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 415.50 = 300.31 : x
  2. Step 2: Convert to fraction form
    302.91/415.50 = 300.31/x
  3. Step 3: Cross multiply
    302.91x = 415.50 × 300.31
  4. Step 4: Simplify right side
    302.91x = 124,778.81
  5. Step 5: Solve for x
    x = 124,778.81/302.91
  6. Step 6: Final answer
    x = 411.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.