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Finding the Fourth Proportional to 370.35, 511.14 and 230.45

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Solution

The fourth proportional to 370.35, 511.14 and 230.45 is: 318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.35 : 511.14 = 230.45 : x
  2. Step 2: Convert to fraction form
    370.35/511.14 = 230.45/x
  3. Step 3: Cross multiply
    370.35x = 511.14 × 230.45
  4. Step 4: Simplify right side
    370.35x = 117,789.66
  5. Step 5: Solve for x
    x = 117,789.66/370.35
  6. Step 6: Final answer
    x = 318.05

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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.