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Finding the Fourth Proportional to 320.45, 480.77 and 128.07

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Solution

The fourth proportional to 320.45, 480.77 and 128.07 is: 192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.45 : 480.77 = 128.07 : x
  2. Step 2: Convert to fraction form
    320.45/480.77 = 128.07/x
  3. Step 3: Cross multiply
    320.45x = 480.77 × 128.07
  4. Step 4: Simplify right side
    320.45x = 61,571.57
  5. Step 5: Solve for x
    x = 61,571.57/320.45
  6. Step 6: Final answer
    x = 192.14

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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.