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Finding the Fourth Proportional to 321.98, 482.56 and 148.64

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Solution

The fourth proportional to 321.98, 482.56 and 148.64 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 482.56 = 148.64 : x
  2. Step 2: Convert to fraction form
    321.98/482.56 = 148.64/x
  3. Step 3: Cross multiply
    321.98x = 482.56 × 148.64
  4. Step 4: Simplify right side
    321.98x = 71,724.93
  5. Step 5: Solve for x
    x = 71,724.93/321.98
  6. Step 6: Final answer
    x = 222.77

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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.