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Finding the Fourth Proportional to 322.06, 482.80 and 148.64

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Solution

The fourth proportional to 322.06, 482.80 and 148.64 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 482.80 = 148.64 : x
  2. Step 2: Convert to fraction form
    322.06/482.80 = 148.64/x
  3. Step 3: Cross multiply
    322.06x = 482.80 × 148.64
  4. Step 4: Simplify right side
    322.06x = 71,761.51
  5. Step 5: Solve for x
    x = 71,761.51/322.06
  6. Step 6: Final answer
    x = 222.82

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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.