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Finding the Fourth Proportional to 302.46, 418.14 and 261.42

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Solution

The fourth proportional to 302.46, 418.14 and 261.42 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 418.14 = 261.42 : x
  2. Step 2: Convert to fraction form
    302.46/418.14 = 261.42/x
  3. Step 3: Cross multiply
    302.46x = 418.14 × 261.42
  4. Step 4: Simplify right side
    302.46x = 109,310.16
  5. Step 5: Solve for x
    x = 109,310.16/302.46
  6. Step 6: Final answer
    x = 361.40

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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.