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Finding the Fourth Proportional to 141.54, 210.90 and 136.32

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Solution

The fourth proportional to 141.54, 210.90 and 136.32 is: 203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 210.90 = 136.32 : x
  2. Step 2: Convert to fraction form
    141.54/210.90 = 136.32/x
  3. Step 3: Cross multiply
    141.54x = 210.90 × 136.32
  4. Step 4: Simplify right side
    141.54x = 28,749.89
  5. Step 5: Solve for x
    x = 28,749.89/141.54
  6. Step 6: Final answer
    x = 203.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.