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Finding the Fourth Proportional to 313.72, 430.55 and 305.56

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Solution

The fourth proportional to 313.72, 430.55 and 305.56 is: 419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 430.55 = 305.56 : x
  2. Step 2: Convert to fraction form
    313.72/430.55 = 305.56/x
  3. Step 3: Cross multiply
    313.72x = 430.55 × 305.56
  4. Step 4: Simplify right side
    313.72x = 131,558.86
  5. Step 5: Solve for x
    x = 131,558.86/313.72
  6. Step 6: Final answer
    x = 419.35

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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.