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Finding the Fourth Proportional to 473.31, 653.19 and 274.17

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Solution

The fourth proportional to 473.31, 653.19 and 274.17 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 653.19 = 274.17 : x
  2. Step 2: Convert to fraction form
    473.31/653.19 = 274.17/x
  3. Step 3: Cross multiply
    473.31x = 653.19 × 274.17
  4. Step 4: Simplify right side
    473.31x = 179,085.10
  5. Step 5: Solve for x
    x = 179,085.10/473.31
  6. Step 6: Final answer
    x = 378.37

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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.