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Finding the Fourth Proportional to 402.06, 554.50 and 262.13

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Solution

The fourth proportional to 402.06, 554.50 and 262.13 is: 361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 554.50 = 262.13 : x
  2. Step 2: Convert to fraction form
    402.06/554.50 = 262.13/x
  3. Step 3: Cross multiply
    402.06x = 554.50 × 262.13
  4. Step 4: Simplify right side
    402.06x = 145,347.66
  5. Step 5: Solve for x
    x = 145,347.66/402.06
  6. Step 6: Final answer
    x = 361.51

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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.