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Finding the Fourth Proportional to 145.97, 218.12 and 115.22

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Solution

The fourth proportional to 145.97, 218.12 and 115.22 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 218.12 = 115.22 : x
  2. Step 2: Convert to fraction form
    145.97/218.12 = 115.22/x
  3. Step 3: Cross multiply
    145.97x = 218.12 × 115.22
  4. Step 4: Simplify right side
    145.97x = 25,131.76
  5. Step 5: Solve for x
    x = 25,131.76/145.97
  6. Step 6: Final answer
    x = 172.17

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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.