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Finding the Fourth Proportional to 313.20, 430.20 and 277.20

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Solution

The fourth proportional to 313.20, 430.20 and 277.20 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 430.20 = 277.20 : x
  2. Step 2: Convert to fraction form
    313.20/430.20 = 277.20/x
  3. Step 3: Cross multiply
    313.20x = 430.20 × 277.20
  4. Step 4: Simplify right side
    313.20x = 119,251.44
  5. Step 5: Solve for x
    x = 119,251.44/313.20
  6. Step 6: Final answer
    x = 380.75

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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.