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Finding the Fourth Proportional to 322.14, 483.03 and 148.77

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Solution

The fourth proportional to 322.14, 483.03 and 148.77 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 483.03 = 148.77 : x
  2. Step 2: Convert to fraction form
    322.14/483.03 = 148.77/x
  3. Step 3: Cross multiply
    322.14x = 483.03 × 148.77
  4. Step 4: Simplify right side
    322.14x = 71,860.37
  5. Step 5: Solve for x
    x = 71,860.37/322.14
  6. Step 6: Final answer
    x = 223.07

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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.