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Finding the Fourth Proportional to 142.65, 212.73 and 141.35

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Solution

The fourth proportional to 142.65, 212.73 and 141.35 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 212.73 = 141.35 : x
  2. Step 2: Convert to fraction form
    142.65/212.73 = 141.35/x
  3. Step 3: Cross multiply
    142.65x = 212.73 × 141.35
  4. Step 4: Simplify right side
    142.65x = 30,069.21
  5. Step 5: Solve for x
    x = 30,069.21/142.65
  6. Step 6: Final answer
    x = 210.79

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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.