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Finding the Fourth Proportional to 196.31, 295.61 and 145.32

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Solution

The fourth proportional to 196.31, 295.61 and 145.32 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 295.61 = 145.32 : x
  2. Step 2: Convert to fraction form
    196.31/295.61 = 145.32/x
  3. Step 3: Cross multiply
    196.31x = 295.61 × 145.32
  4. Step 4: Simplify right side
    196.31x = 42,957.30
  5. Step 5: Solve for x
    x = 42,957.30/196.31
  6. Step 6: Final answer
    x = 218.82

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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.