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Finding the Fourth Proportional to 153.89, 212.28 and 109.64

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Solution

The fourth proportional to 153.89, 212.28 and 109.64 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.89 : 212.28 = 109.64 : x
  2. Step 2: Convert to fraction form
    153.89/212.28 = 109.64/x
  3. Step 3: Cross multiply
    153.89x = 212.28 × 109.64
  4. Step 4: Simplify right side
    153.89x = 23,274.38
  5. Step 5: Solve for x
    x = 23,274.38/153.89
  6. Step 6: Final answer
    x = 151.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.