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Finding the Fourth Proportional to 321.55, 482.32 and 148.07

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Solution

The fourth proportional to 321.55, 482.32 and 148.07 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 482.32 = 148.07 : x
  2. Step 2: Convert to fraction form
    321.55/482.32 = 148.07/x
  3. Step 3: Cross multiply
    321.55x = 482.32 × 148.07
  4. Step 4: Simplify right side
    321.55x = 71,413.97
  5. Step 5: Solve for x
    x = 71,413.97/321.55
  6. Step 6: Final answer
    x = 222.10

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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.