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Finding the Fourth Proportional to 313.05, 431.99 and 188.72

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Solution

The fourth proportional to 313.05, 431.99 and 188.72 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 431.99 = 188.72 : x
  2. Step 2: Convert to fraction form
    313.05/431.99 = 188.72/x
  3. Step 3: Cross multiply
    313.05x = 431.99 × 188.72
  4. Step 4: Simplify right side
    313.05x = 81,522.05
  5. Step 5: Solve for x
    x = 81,522.05/313.05
  6. Step 6: Final answer
    x = 260.41

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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.