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Finding the Fourth Proportional to 215.83, 297.87 and 133

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Solution

The fourth proportional to 215.83, 297.87 and 133 is: 183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 297.87 = 133 : x
  2. Step 2: Convert to fraction form
    215.83/297.87 = 133/x
  3. Step 3: Cross multiply
    215.83x = 297.87 × 133
  4. Step 4: Simplify right side
    215.83x = 39,616.71
  5. Step 5: Solve for x
    x = 39,616.71/215.83
  6. Step 6: Final answer
    x = 183.56

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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.