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Finding the Fourth Proportional to 313.08, 470.04 and 310.08

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Solution

The fourth proportional to 313.08, 470.04 and 310.08 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 470.04 = 310.08 : x
  2. Step 2: Convert to fraction form
    313.08/470.04 = 310.08/x
  3. Step 3: Cross multiply
    313.08x = 470.04 × 310.08
  4. Step 4: Simplify right side
    313.08x = 145,750.00
  5. Step 5: Solve for x
    x = 145,750.00/313.08
  6. Step 6: Final answer
    x = 465.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.