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Finding the Fourth Proportional to 402.11, 602.06 and 264.81

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Solution

The fourth proportional to 402.11, 602.06 and 264.81 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.11 : 602.06 = 264.81 : x
  2. Step 2: Convert to fraction form
    402.11/602.06 = 264.81/x
  3. Step 3: Cross multiply
    402.11x = 602.06 × 264.81
  4. Step 4: Simplify right side
    402.11x = 159,430.18
  5. Step 5: Solve for x
    x = 159,430.18/402.11
  6. Step 6: Final answer
    x = 396.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.