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Finding the Fourth Proportional to 473.38, 653.22 and 274.19

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Solution

The fourth proportional to 473.38, 653.22 and 274.19 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.38 : 653.22 = 274.19 : x
  2. Step 2: Convert to fraction form
    473.38/653.22 = 274.19/x
  3. Step 3: Cross multiply
    473.38x = 653.22 × 274.19
  4. Step 4: Simplify right side
    473.38x = 179,103.13
  5. Step 5: Solve for x
    x = 179,103.13/473.38
  6. Step 6: Final answer
    x = 378.35

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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.