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Finding the Fourth Proportional to 211.53, 315.72 and 180.48

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Solution

The fourth proportional to 211.53, 315.72 and 180.48 is: 269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 315.72 = 180.48 : x
  2. Step 2: Convert to fraction form
    211.53/315.72 = 180.48/x
  3. Step 3: Cross multiply
    211.53x = 315.72 × 180.48
  4. Step 4: Simplify right side
    211.53x = 56,981.15
  5. Step 5: Solve for x
    x = 56,981.15/211.53
  6. Step 6: Final answer
    x = 269.38

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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.