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Finding the Fourth Proportional to 211.45, 315.83 and 157.45

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Solution

The fourth proportional to 211.45, 315.83 and 157.45 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.45 : 315.83 = 157.45 : x
  2. Step 2: Convert to fraction form
    211.45/315.83 = 157.45/x
  3. Step 3: Cross multiply
    211.45x = 315.83 × 157.45
  4. Step 4: Simplify right side
    211.45x = 49,727.43
  5. Step 5: Solve for x
    x = 49,727.43/211.45
  6. Step 6: Final answer
    x = 235.17

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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.