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Finding the Fourth Proportional to 311.95, 430.19 and 238.14

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Solution

The fourth proportional to 311.95, 430.19 and 238.14 is: 328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.95 : 430.19 = 238.14 : x
  2. Step 2: Convert to fraction form
    311.95/430.19 = 238.14/x
  3. Step 3: Cross multiply
    311.95x = 430.19 × 238.14
  4. Step 4: Simplify right side
    311.95x = 102,442.10
  5. Step 5: Solve for x
    x = 102,442.10/311.95
  6. Step 6: Final answer
    x = 328.40

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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.