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Finding the Fourth Proportional to 473.23, 653.13 and 274.02

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Solution

The fourth proportional to 473.23, 653.13 and 274.02 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 653.13 = 274.02 : x
  2. Step 2: Convert to fraction form
    473.23/653.13 = 274.02/x
  3. Step 3: Cross multiply
    473.23x = 653.13 × 274.02
  4. Step 4: Simplify right side
    473.23x = 178,973.74
  5. Step 5: Solve for x
    x = 178,973.74/473.23
  6. Step 6: Final answer
    x = 378.20

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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.