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Finding the Fourth Proportional to 302.61, 450.27 and 301.59

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Solution

The fourth proportional to 302.61, 450.27 and 301.59 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 450.27 = 301.59 : x
  2. Step 2: Convert to fraction form
    302.61/450.27 = 301.59/x
  3. Step 3: Cross multiply
    302.61x = 450.27 × 301.59
  4. Step 4: Simplify right side
    302.61x = 135,796.93
  5. Step 5: Solve for x
    x = 135,796.93/302.61
  6. Step 6: Final answer
    x = 448.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.