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Finding the Fourth Proportional to 145.18, 218.79 and 136.07

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Solution

The fourth proportional to 145.18, 218.79 and 136.07 is: 205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.18 : 218.79 = 136.07 : x
  2. Step 2: Convert to fraction form
    145.18/218.79 = 136.07/x
  3. Step 3: Cross multiply
    145.18x = 218.79 × 136.07
  4. Step 4: Simplify right side
    145.18x = 29,770.76
  5. Step 5: Solve for x
    x = 29,770.76/145.18
  6. Step 6: Final answer
    x = 205.06

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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.