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Finding the Fourth Proportional to 307.08, 462.33 and 211.50

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Solution

The fourth proportional to 307.08, 462.33 and 211.50 is: 318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 462.33 = 211.50 : x
  2. Step 2: Convert to fraction form
    307.08/462.33 = 211.50/x
  3. Step 3: Cross multiply
    307.08x = 462.33 × 211.50
  4. Step 4: Simplify right side
    307.08x = 97,782.80
  5. Step 5: Solve for x
    x = 97,782.80/307.08
  6. Step 6: Final answer
    x = 318.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.