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Finding the Fourth Proportional to 145.14, 216.62 and 129.54

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Solution

The fourth proportional to 145.14, 216.62 and 129.54 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 216.62 = 129.54 : x
  2. Step 2: Convert to fraction form
    145.14/216.62 = 129.54/x
  3. Step 3: Cross multiply
    145.14x = 216.62 × 129.54
  4. Step 4: Simplify right side
    145.14x = 28,060.95
  5. Step 5: Solve for x
    x = 28,060.95/145.14
  6. Step 6: Final answer
    x = 193.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.