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Finding the Fourth Proportional to 402.53, 554.67 and 262.49

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Solution

The fourth proportional to 402.53, 554.67 and 262.49 is: 361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.53 : 554.67 = 262.49 : x
  2. Step 2: Convert to fraction form
    402.53/554.67 = 262.49/x
  3. Step 3: Cross multiply
    402.53x = 554.67 × 262.49
  4. Step 4: Simplify right side
    402.53x = 145,595.33
  5. Step 5: Solve for x
    x = 145,595.33/402.53
  6. Step 6: Final answer
    x = 361.70

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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.