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Finding the Fourth Proportional to 153.58, 210.82 and 141.27

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Solution

The fourth proportional to 153.58, 210.82 and 141.27 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.58 : 210.82 = 141.27 : x
  2. Step 2: Convert to fraction form
    153.58/210.82 = 141.27/x
  3. Step 3: Cross multiply
    153.58x = 210.82 × 141.27
  4. Step 4: Simplify right side
    153.58x = 29,783.42
  5. Step 5: Solve for x
    x = 29,783.42/153.58
  6. Step 6: Final answer
    x = 193.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.