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Finding the Fourth Proportional to 371.31, 511.35 and 370.20

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Solution

The fourth proportional to 371.31, 511.35 and 370.20 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 511.35 = 370.20 : x
  2. Step 2: Convert to fraction form
    371.31/511.35 = 370.20/x
  3. Step 3: Cross multiply
    371.31x = 511.35 × 370.20
  4. Step 4: Simplify right side
    371.31x = 189,301.77
  5. Step 5: Solve for x
    x = 189,301.77/371.31
  6. Step 6: Final answer
    x = 509.82

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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.