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Finding the Fourth Proportional to 196.34, 295.65 and 145.34

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Solution

The fourth proportional to 196.34, 295.65 and 145.34 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 295.65 = 145.34 : x
  2. Step 2: Convert to fraction form
    196.34/295.65 = 145.34/x
  3. Step 3: Cross multiply
    196.34x = 295.65 × 145.34
  4. Step 4: Simplify right side
    196.34x = 42,969.19
  5. Step 5: Solve for x
    x = 42,969.19/196.34
  6. Step 6: Final answer
    x = 218.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.