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Finding the Fourth Proportional to 263.78, 364 and 147.35

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Solution

The fourth proportional to 263.78, 364 and 147.35 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 364 = 147.35 : x
  2. Step 2: Convert to fraction form
    263.78/364 = 147.35/x
  3. Step 3: Cross multiply
    263.78x = 364 × 147.35
  4. Step 4: Simplify right side
    263.78x = 53,635.40
  5. Step 5: Solve for x
    x = 53,635.40/263.78
  6. Step 6: Final answer
    x = 203.33

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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.