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Finding the Fourth Proportional to 210.72, 315.72 and 114.24

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Solution

The fourth proportional to 210.72, 315.72 and 114.24 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 315.72 = 114.24 : x
  2. Step 2: Convert to fraction form
    210.72/315.72 = 114.24/x
  3. Step 3: Cross multiply
    210.72x = 315.72 × 114.24
  4. Step 4: Simplify right side
    210.72x = 36,067.85
  5. Step 5: Solve for x
    x = 36,067.85/210.72
  6. Step 6: Final answer
    x = 171.16

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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.