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Finding the Fourth Proportional to 142.66, 212.49 and 140.77

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Solution

The fourth proportional to 142.66, 212.49 and 140.77 is: 209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.66 : 212.49 = 140.77 : x
  2. Step 2: Convert to fraction form
    142.66/212.49 = 140.77/x
  3. Step 3: Cross multiply
    142.66x = 212.49 × 140.77
  4. Step 4: Simplify right side
    142.66x = 29,911.15
  5. Step 5: Solve for x
    x = 29,911.15/142.66
  6. Step 6: Final answer
    x = 209.67

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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.