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Finding the Fourth Proportional to 255.15, 380.70 and 214.65

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Solution

The fourth proportional to 255.15, 380.70 and 214.65 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.15 : 380.70 = 214.65 : x
  2. Step 2: Convert to fraction form
    255.15/380.70 = 214.65/x
  3. Step 3: Cross multiply
    255.15x = 380.70 × 214.65
  4. Step 4: Simplify right side
    255.15x = 81,717.26
  5. Step 5: Solve for x
    x = 81,717.26/255.15
  6. Step 6: Final answer
    x = 320.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.