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Finding the Fourth Proportional to 371.16, 511.65 and 318.47

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Solution

The fourth proportional to 371.16, 511.65 and 318.47 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 511.65 = 318.47 : x
  2. Step 2: Convert to fraction form
    371.16/511.65 = 318.47/x
  3. Step 3: Cross multiply
    371.16x = 511.65 × 318.47
  4. Step 4: Simplify right side
    371.16x = 162,942.62
  5. Step 5: Solve for x
    x = 162,942.62/371.16
  6. Step 6: Final answer
    x = 439.01

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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.