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Finding the Fourth Proportional to 313.02, 430.74 and 303.94

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Solution

The fourth proportional to 313.02, 430.74 and 303.94 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 430.74 = 303.94 : x
  2. Step 2: Convert to fraction form
    313.02/430.74 = 303.94/x
  3. Step 3: Cross multiply
    313.02x = 430.74 × 303.94
  4. Step 4: Simplify right side
    313.02x = 130,919.12
  5. Step 5: Solve for x
    x = 130,919.12/313.02
  6. Step 6: Final answer
    x = 418.25

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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.