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Finding the Fourth Proportional to 370.31, 558.02 and 306.74

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Solution

The fourth proportional to 370.31, 558.02 and 306.74 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.31 : 558.02 = 306.74 : x
  2. Step 2: Convert to fraction form
    370.31/558.02 = 306.74/x
  3. Step 3: Cross multiply
    370.31x = 558.02 × 306.74
  4. Step 4: Simplify right side
    370.31x = 171,162.73
  5. Step 5: Solve for x
    x = 171,162.73/370.31
  6. Step 6: Final answer
    x = 462.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.