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Finding the Fourth Proportional to 153.43, 212.70 and 145.21

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Solution

The fourth proportional to 153.43, 212.70 and 145.21 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.43 : 212.70 = 145.21 : x
  2. Step 2: Convert to fraction form
    153.43/212.70 = 145.21/x
  3. Step 3: Cross multiply
    153.43x = 212.70 × 145.21
  4. Step 4: Simplify right side
    153.43x = 30,886.17
  5. Step 5: Solve for x
    x = 30,886.17/153.43
  6. Step 6: Final answer
    x = 201.30

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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.