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Finding the Fourth Proportional to 371.42, 559.72 and 318.02

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Solution

The fourth proportional to 371.42, 559.72 and 318.02 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.42 : 559.72 = 318.02 : x
  2. Step 2: Convert to fraction form
    371.42/559.72 = 318.02/x
  3. Step 3: Cross multiply
    371.42x = 559.72 × 318.02
  4. Step 4: Simplify right side
    371.42x = 178,002.15
  5. Step 5: Solve for x
    x = 178,002.15/371.42
  6. Step 6: Final answer
    x = 479.25

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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.