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Finding the Fourth Proportional to 216.00, 297.90 and 157.19

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Solution

The fourth proportional to 216.00, 297.90 and 157.19 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.00 : 297.90 = 157.19 : x
  2. Step 2: Convert to fraction form
    216.00/297.90 = 157.19/x
  3. Step 3: Cross multiply
    216.00x = 297.90 × 157.19
  4. Step 4: Simplify right side
    216.00x = 46,827.53
  5. Step 5: Solve for x
    x = 46,827.53/216.00
  6. Step 6: Final answer
    x = 216.79

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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.