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Finding the Fourth Proportional to 215.91, 299.50 and 208.35

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Solution

The fourth proportional to 215.91, 299.50 and 208.35 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 299.50 = 208.35 : x
  2. Step 2: Convert to fraction form
    215.91/299.50 = 208.35/x
  3. Step 3: Cross multiply
    215.91x = 299.50 × 208.35
  4. Step 4: Simplify right side
    215.91x = 62,400.30
  5. Step 5: Solve for x
    x = 62,400.30/215.91
  6. Step 6: Final answer
    x = 289.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.