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Finding the Fourth Proportional to 287.99, 396.77 and 214.19

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Solution

The fourth proportional to 287.99, 396.77 and 214.19 is: 295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.99 : 396.77 = 214.19 : x
  2. Step 2: Convert to fraction form
    287.99/396.77 = 214.19/x
  3. Step 3: Cross multiply
    287.99x = 396.77 × 214.19
  4. Step 4: Simplify right side
    287.99x = 84,981.11
  5. Step 5: Solve for x
    x = 84,981.11/287.99
  6. Step 6: Final answer
    x = 295.09

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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.