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Finding the Fourth Proportional to 322.61, 483.57 and 228.83

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Solution

The fourth proportional to 322.61, 483.57 and 228.83 is: 343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 483.57 = 228.83 : x
  2. Step 2: Convert to fraction form
    322.61/483.57 = 228.83/x
  3. Step 3: Cross multiply
    322.61x = 483.57 × 228.83
  4. Step 4: Simplify right side
    322.61x = 110,652.91
  5. Step 5: Solve for x
    x = 110,652.91/322.61
  6. Step 6: Final answer
    x = 343.00

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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.