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Finding the Fourth Proportional to 216.57, 297.57 and 207.03

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Solution

The fourth proportional to 216.57, 297.57 and 207.03 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.57 : 297.57 = 207.03 : x
  2. Step 2: Convert to fraction form
    216.57/297.57 = 207.03/x
  3. Step 3: Cross multiply
    216.57x = 297.57 × 207.03
  4. Step 4: Simplify right side
    216.57x = 61,605.92
  5. Step 5: Solve for x
    x = 61,605.92/216.57
  6. Step 6: Final answer
    x = 284.46

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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.