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Finding the Fourth Proportional to 371.56, 513.06 and 313.64

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Solution

The fourth proportional to 371.56, 513.06 and 313.64 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.56 : 513.06 = 313.64 : x
  2. Step 2: Convert to fraction form
    371.56/513.06 = 313.64/x
  3. Step 3: Cross multiply
    371.56x = 513.06 × 313.64
  4. Step 4: Simplify right side
    371.56x = 160,916.14
  5. Step 5: Solve for x
    x = 160,916.14/371.56
  6. Step 6: Final answer
    x = 433.08

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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.