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Finding the Fourth Proportional to 328.22, 452.95 and 211.98

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Solution

The fourth proportional to 328.22, 452.95 and 211.98 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.22 : 452.95 = 211.98 : x
  2. Step 2: Convert to fraction form
    328.22/452.95 = 211.98/x
  3. Step 3: Cross multiply
    328.22x = 452.95 × 211.98
  4. Step 4: Simplify right side
    328.22x = 96,017.51
  5. Step 5: Solve for x
    x = 96,017.51/328.22
  6. Step 6: Final answer
    x = 292.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.