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Finding the Fourth Proportional to 332.00, 457.82 and 221.50

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Solution

The fourth proportional to 332.00, 457.82 and 221.50 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.00 : 457.82 = 221.50 : x
  2. Step 2: Convert to fraction form
    332.00/457.82 = 221.50/x
  3. Step 3: Cross multiply
    332.00x = 457.82 × 221.50
  4. Step 4: Simplify right side
    332.00x = 101,407.43
  5. Step 5: Solve for x
    x = 101,407.43/332.00
  6. Step 6: Final answer
    x = 305.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.