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Finding the Fourth Proportional to 328.07, 491.80 and 111.49

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Solution

The fourth proportional to 328.07, 491.80 and 111.49 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 491.80 = 111.49 : x
  2. Step 2: Convert to fraction form
    328.07/491.80 = 111.49/x
  3. Step 3: Cross multiply
    328.07x = 491.80 × 111.49
  4. Step 4: Simplify right side
    328.07x = 54,831.45
  5. Step 5: Solve for x
    x = 54,831.45/328.07
  6. Step 6: Final answer
    x = 167.14

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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.