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Finding the Fourth Proportional to 211.69, 318.13 and 140.00

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Solution

The fourth proportional to 211.69, 318.13 and 140.00 is: 210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 318.13 = 140.00 : x
  2. Step 2: Convert to fraction form
    211.69/318.13 = 140.00/x
  3. Step 3: Cross multiply
    211.69x = 318.13 × 140.00
  4. Step 4: Simplify right side
    211.69x = 44,538.65
  5. Step 5: Solve for x
    x = 44,538.65/211.69
  6. Step 6: Final answer
    x = 210.40

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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.