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Finding the Fourth Proportional to 473.22, 653.13 and 266.22

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Solution

The fourth proportional to 473.22, 653.13 and 266.22 is: 367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 653.13 = 266.22 : x
  2. Step 2: Convert to fraction form
    473.22/653.13 = 266.22/x
  3. Step 3: Cross multiply
    473.22x = 653.13 × 266.22
  4. Step 4: Simplify right side
    473.22x = 173,876.27
  5. Step 5: Solve for x
    x = 173,876.27/473.22
  6. Step 6: Final answer
    x = 367.43

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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.