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Finding the Fourth Proportional to 141.05, 210.45 and 118.27

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Solution

The fourth proportional to 141.05, 210.45 and 118.27 is: 176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.05 : 210.45 = 118.27 : x
  2. Step 2: Convert to fraction form
    141.05/210.45 = 118.27/x
  3. Step 3: Cross multiply
    141.05x = 210.45 × 118.27
  4. Step 4: Simplify right side
    141.05x = 24,890.63
  5. Step 5: Solve for x
    x = 24,890.63/141.05
  6. Step 6: Final answer
    x = 176.46

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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.