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Finding the Fourth Proportional to 366.50, 504.15 and 322.76

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Solution

The fourth proportional to 366.50, 504.15 and 322.76 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.50 : 504.15 = 322.76 : x
  2. Step 2: Convert to fraction form
    366.50/504.15 = 322.76/x
  3. Step 3: Cross multiply
    366.50x = 504.15 × 322.76
  4. Step 4: Simplify right side
    366.50x = 162,719.45
  5. Step 5: Solve for x
    x = 162,719.45/366.50
  6. Step 6: Final answer
    x = 443.98

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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.