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Finding the Fourth Proportional to 412.81, 566.80 and 402.11

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Solution

The fourth proportional to 412.81, 566.80 and 402.11 is: 552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.81 : 566.80 = 402.11 : x
  2. Step 2: Convert to fraction form
    412.81/566.80 = 402.11/x
  3. Step 3: Cross multiply
    412.81x = 566.80 × 402.11
  4. Step 4: Simplify right side
    412.81x = 227,915.95
  5. Step 5: Solve for x
    x = 227,915.95/412.81
  6. Step 6: Final answer
    x = 552.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.