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Finding the Fourth Proportional to 263.60, 363.58 and 170.20

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Solution

The fourth proportional to 263.60, 363.58 and 170.20 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 363.58 = 170.20 : x
  2. Step 2: Convert to fraction form
    263.60/363.58 = 170.20/x
  3. Step 3: Cross multiply
    263.60x = 363.58 × 170.20
  4. Step 4: Simplify right side
    263.60x = 61,881.32
  5. Step 5: Solve for x
    x = 61,881.32/263.60
  6. Step 6: Final answer
    x = 234.75

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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.