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Finding the Fourth Proportional to 211.88, 317.58 and 83.48

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Solution

The fourth proportional to 211.88, 317.58 and 83.48 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 317.58 = 83.48 : x
  2. Step 2: Convert to fraction form
    211.88/317.58 = 83.48/x
  3. Step 3: Cross multiply
    211.88x = 317.58 × 83.48
  4. Step 4: Simplify right side
    211.88x = 26,511.58
  5. Step 5: Solve for x
    x = 26,511.58/211.88
  6. Step 6: Final answer
    x = 125.13

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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.