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Finding the Fourth Proportional to 140.58, 211.37 and 139.91

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Solution

The fourth proportional to 140.58, 211.37 and 139.91 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 211.37 = 139.91 : x
  2. Step 2: Convert to fraction form
    140.58/211.37 = 139.91/x
  3. Step 3: Cross multiply
    140.58x = 211.37 × 139.91
  4. Step 4: Simplify right side
    140.58x = 29,571.02
  5. Step 5: Solve for x
    x = 29,571.02/140.58
  6. Step 6: Final answer
    x = 210.35

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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.