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Finding the Fourth Proportional to 153.44, 212.70 and 145.22

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Solution

The fourth proportional to 153.44, 212.70 and 145.22 is: 201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.44 : 212.70 = 145.22 : x
  2. Step 2: Convert to fraction form
    153.44/212.70 = 145.22/x
  3. Step 3: Cross multiply
    153.44x = 212.70 × 145.22
  4. Step 4: Simplify right side
    153.44x = 30,888.29
  5. Step 5: Solve for x
    x = 30,888.29/153.44
  6. Step 6: Final answer
    x = 201.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.