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Finding the Fourth Proportional to 141.23, 212.63 and 117.06

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Solution

The fourth proportional to 141.23, 212.63 and 117.06 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 212.63 = 117.06 : x
  2. Step 2: Convert to fraction form
    141.23/212.63 = 117.06/x
  3. Step 3: Cross multiply
    141.23x = 212.63 × 117.06
  4. Step 4: Simplify right side
    141.23x = 24,889.88
  5. Step 5: Solve for x
    x = 24,889.88/141.23
  6. Step 6: Final answer
    x = 176.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.