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Finding the Fourth Proportional to 371.64, 512.70 and 297.56

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Solution

The fourth proportional to 371.64, 512.70 and 297.56 is: 410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 512.70 = 297.56 : x
  2. Step 2: Convert to fraction form
    371.64/512.70 = 297.56/x
  3. Step 3: Cross multiply
    371.64x = 512.70 × 297.56
  4. Step 4: Simplify right side
    371.64x = 152,559.01
  5. Step 5: Solve for x
    x = 152,559.01/371.64
  6. Step 6: Final answer
    x = 410.50

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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.