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Finding the Fourth Proportional to 302.72, 415.03 and 297.26

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Solution

The fourth proportional to 302.72, 415.03 and 297.26 is: 407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 415.03 = 297.26 : x
  2. Step 2: Convert to fraction form
    302.72/415.03 = 297.26/x
  3. Step 3: Cross multiply
    302.72x = 415.03 × 297.26
  4. Step 4: Simplify right side
    302.72x = 123,369.00
  5. Step 5: Solve for x
    x = 123,369.00/302.72
  6. Step 6: Final answer
    x = 407.53

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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.