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Finding the Fourth Proportional to 313.10, 431.92 and 202.67

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Solution

The fourth proportional to 313.10, 431.92 and 202.67 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 431.92 = 202.67 : x
  2. Step 2: Convert to fraction form
    313.10/431.92 = 202.67/x
  3. Step 3: Cross multiply
    313.10x = 431.92 × 202.67
  4. Step 4: Simplify right side
    313.10x = 87,537.23
  5. Step 5: Solve for x
    x = 87,537.23/313.10
  6. Step 6: Final answer
    x = 279.58

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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.