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Finding the Fourth Proportional to 255.99, 384.39 and 214.83

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Solution

The fourth proportional to 255.99, 384.39 and 214.83 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.99 : 384.39 = 214.83 : x
  2. Step 2: Convert to fraction form
    255.99/384.39 = 214.83/x
  3. Step 3: Cross multiply
    255.99x = 384.39 × 214.83
  4. Step 4: Simplify right side
    255.99x = 82,578.50
  5. Step 5: Solve for x
    x = 82,578.50/255.99
  6. Step 6: Final answer
    x = 322.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.