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Finding the Fourth Proportional to 473.25, 653.04 and 263.39

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Solution

The fourth proportional to 473.25, 653.04 and 263.39 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 653.04 = 263.39 : x
  2. Step 2: Convert to fraction form
    473.25/653.04 = 263.39/x
  3. Step 3: Cross multiply
    473.25x = 653.04 × 263.39
  4. Step 4: Simplify right side
    473.25x = 172,004.21
  5. Step 5: Solve for x
    x = 172,004.21/473.25
  6. Step 6: Final answer
    x = 363.45

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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.