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Finding the Fourth Proportional to 140.18, 210.35 and 68.02

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Solution

The fourth proportional to 140.18, 210.35 and 68.02 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 210.35 = 68.02 : x
  2. Step 2: Convert to fraction form
    140.18/210.35 = 68.02/x
  3. Step 3: Cross multiply
    140.18x = 210.35 × 68.02
  4. Step 4: Simplify right side
    140.18x = 14,308.01
  5. Step 5: Solve for x
    x = 14,308.01/140.18
  6. Step 6: Final answer
    x = 102.07

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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.