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Finding the Fourth Proportional to 141.15, 210.30 and 140.16

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Solution

The fourth proportional to 141.15, 210.30 and 140.16 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.15 : 210.30 = 140.16 : x
  2. Step 2: Convert to fraction form
    141.15/210.30 = 140.16/x
  3. Step 3: Cross multiply
    141.15x = 210.30 × 140.16
  4. Step 4: Simplify right side
    141.15x = 29,475.65
  5. Step 5: Solve for x
    x = 29,475.65/141.15
  6. Step 6: Final answer
    x = 208.82

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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.