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Finding the Fourth Proportional to 473.23, 653.10 and 263.45

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Solution

The fourth proportional to 473.23, 653.10 and 263.45 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 653.10 = 263.45 : x
  2. Step 2: Convert to fraction form
    473.23/653.10 = 263.45/x
  3. Step 3: Cross multiply
    473.23x = 653.10 × 263.45
  4. Step 4: Simplify right side
    473.23x = 172,059.20
  5. Step 5: Solve for x
    x = 172,059.20/473.23
  6. Step 6: Final answer
    x = 363.58

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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.