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Finding the Fourth Proportional to 140.63, 210.74 and 130.51

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Solution

The fourth proportional to 140.63, 210.74 and 130.51 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 210.74 = 130.51 : x
  2. Step 2: Convert to fraction form
    140.63/210.74 = 130.51/x
  3. Step 3: Cross multiply
    140.63x = 210.74 × 130.51
  4. Step 4: Simplify right side
    140.63x = 27,503.68
  5. Step 5: Solve for x
    x = 27,503.68/140.63
  6. Step 6: Final answer
    x = 195.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.