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Finding the Fourth Proportional to 153.47, 212.75 and 145.55

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Solution

The fourth proportional to 153.47, 212.75 and 145.55 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 212.75 = 145.55 : x
  2. Step 2: Convert to fraction form
    153.47/212.75 = 145.55/x
  3. Step 3: Cross multiply
    153.47x = 212.75 × 145.55
  4. Step 4: Simplify right side
    153.47x = 30,965.33
  5. Step 5: Solve for x
    x = 30,965.33/153.47
  6. Step 6: Final answer
    x = 201.77

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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.