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Finding the Fourth Proportional to 216.47, 297.10 and 200.03

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Solution

The fourth proportional to 216.47, 297.10 and 200.03 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.47 : 297.10 = 200.03 : x
  2. Step 2: Convert to fraction form
    216.47/297.10 = 200.03/x
  3. Step 3: Cross multiply
    216.47x = 297.10 × 200.03
  4. Step 4: Simplify right side
    216.47x = 59,428.91
  5. Step 5: Solve for x
    x = 59,428.91/216.47
  6. Step 6: Final answer
    x = 274.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.