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Finding the Fourth Proportional to 302.08, 415.92 and 266.59

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Solution

The fourth proportional to 302.08, 415.92 and 266.59 is: 367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.08 : 415.92 = 266.59 : x
  2. Step 2: Convert to fraction form
    302.08/415.92 = 266.59/x
  3. Step 3: Cross multiply
    302.08x = 415.92 × 266.59
  4. Step 4: Simplify right side
    302.08x = 110,880.11
  5. Step 5: Solve for x
    x = 110,880.11/302.08
  6. Step 6: Final answer
    x = 367.06

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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.