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Finding the Fourth Proportional to 313.08, 429.54 and 305.88

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Solution

The fourth proportional to 313.08, 429.54 and 305.88 is: 419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 429.54 = 305.88 : x
  2. Step 2: Convert to fraction form
    313.08/429.54 = 305.88/x
  3. Step 3: Cross multiply
    313.08x = 429.54 × 305.88
  4. Step 4: Simplify right side
    313.08x = 131,387.70
  5. Step 5: Solve for x
    x = 131,387.70/313.08
  6. Step 6: Final answer
    x = 419.66

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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.