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Finding the Fourth Proportional to 263.59, 363.73 and 147.15

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Solution

The fourth proportional to 263.59, 363.73 and 147.15 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 363.73 = 147.15 : x
  2. Step 2: Convert to fraction form
    263.59/363.73 = 147.15/x
  3. Step 3: Cross multiply
    263.59x = 363.73 × 147.15
  4. Step 4: Simplify right side
    263.59x = 53,522.87
  5. Step 5: Solve for x
    x = 53,522.87/263.59
  6. Step 6: Final answer
    x = 203.05

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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.