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Finding the Fourth Proportional to 255.36, 384.58 and 215.04

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Solution

The fourth proportional to 255.36, 384.58 and 215.04 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 384.58 = 215.04 : x
  2. Step 2: Convert to fraction form
    255.36/384.58 = 215.04/x
  3. Step 3: Cross multiply
    255.36x = 384.58 × 215.04
  4. Step 4: Simplify right side
    255.36x = 82,700.08
  5. Step 5: Solve for x
    x = 82,700.08/255.36
  6. Step 6: Final answer
    x = 323.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.