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Finding the Fourth Proportional to 314.19, 431.03 and 311.67

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Solution

The fourth proportional to 314.19, 431.03 and 311.67 is: 427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 431.03 = 311.67 : x
  2. Step 2: Convert to fraction form
    314.19/431.03 = 311.67/x
  3. Step 3: Cross multiply
    314.19x = 431.03 × 311.67
  4. Step 4: Simplify right side
    314.19x = 134,337.56
  5. Step 5: Solve for x
    x = 134,337.56/314.19
  6. Step 6: Final answer
    x = 427.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.