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Finding the Fourth Proportional to 473.42, 653.28 and 274.26

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Solution

The fourth proportional to 473.42, 653.28 and 274.26 is: 378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 653.28 = 274.26 : x
  2. Step 2: Convert to fraction form
    473.42/653.28 = 274.26/x
  3. Step 3: Cross multiply
    473.42x = 653.28 × 274.26
  4. Step 4: Simplify right side
    473.42x = 179,168.57
  5. Step 5: Solve for x
    x = 179,168.57/473.42
  6. Step 6: Final answer
    x = 378.46

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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.