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Finding the Fourth Proportional to 153.81, 212.58 and 135.54

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Solution

The fourth proportional to 153.81, 212.58 and 135.54 is: 187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 212.58 = 135.54 : x
  2. Step 2: Convert to fraction form
    153.81/212.58 = 135.54/x
  3. Step 3: Cross multiply
    153.81x = 212.58 × 135.54
  4. Step 4: Simplify right side
    153.81x = 28,813.09
  5. Step 5: Solve for x
    x = 28,813.09/153.81
  6. Step 6: Final answer
    x = 187.33

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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.