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Finding the Fourth Proportional to 328.16, 491.79 and 255.68

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Solution

The fourth proportional to 328.16, 491.79 and 255.68 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 491.79 = 255.68 : x
  2. Step 2: Convert to fraction form
    328.16/491.79 = 255.68/x
  3. Step 3: Cross multiply
    328.16x = 491.79 × 255.68
  4. Step 4: Simplify right side
    328.16x = 125,740.87
  5. Step 5: Solve for x
    x = 125,740.87/328.16
  6. Step 6: Final answer
    x = 383.17

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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.