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Finding the Fourth Proportional to 388.26, 582.33 and 128.25

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Solution

The fourth proportional to 388.26, 582.33 and 128.25 is: 192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 582.33 = 128.25 : x
  2. Step 2: Convert to fraction form
    388.26/582.33 = 128.25/x
  3. Step 3: Cross multiply
    388.26x = 582.33 × 128.25
  4. Step 4: Simplify right side
    388.26x = 74,683.34
  5. Step 5: Solve for x
    x = 74,683.34/388.26
  6. Step 6: Final answer
    x = 192.35

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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.