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Finding the Fourth Proportional to 371.56, 511.50 and 322.16

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Solution

The fourth proportional to 371.56, 511.50 and 322.16 is: 443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.56 : 511.50 = 322.16 : x
  2. Step 2: Convert to fraction form
    371.56/511.50 = 322.16/x
  3. Step 3: Cross multiply
    371.56x = 511.50 × 322.16
  4. Step 4: Simplify right side
    371.56x = 164,784.84
  5. Step 5: Solve for x
    x = 164,784.84/371.56
  6. Step 6: Final answer
    x = 443.49

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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.