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Finding the Fourth Proportional to 302.48, 417.15 and 255.97

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Solution

The fourth proportional to 302.48, 417.15 and 255.97 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 417.15 = 255.97 : x
  2. Step 2: Convert to fraction form
    302.48/417.15 = 255.97/x
  3. Step 3: Cross multiply
    302.48x = 417.15 × 255.97
  4. Step 4: Simplify right side
    302.48x = 106,777.89
  5. Step 5: Solve for x
    x = 106,777.89/302.48
  6. Step 6: Final answer
    x = 353.01

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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.