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Finding the Fourth Proportional to 402.12, 554.59 and 262.17

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Solution

The fourth proportional to 402.12, 554.59 and 262.17 is: 361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 554.59 = 262.17 : x
  2. Step 2: Convert to fraction form
    402.12/554.59 = 262.17/x
  3. Step 3: Cross multiply
    402.12x = 554.59 × 262.17
  4. Step 4: Simplify right side
    402.12x = 145,396.86
  5. Step 5: Solve for x
    x = 145,396.86/402.12
  6. Step 6: Final answer
    x = 361.58

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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.