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Finding the Fourth Proportional to 320.36, 442.26 and 313.67

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Solution

The fourth proportional to 320.36, 442.26 and 313.67 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 442.26 = 313.67 : x
  2. Step 2: Convert to fraction form
    320.36/442.26 = 313.67/x
  3. Step 3: Cross multiply
    320.36x = 442.26 × 313.67
  4. Step 4: Simplify right side
    320.36x = 138,724.80
  5. Step 5: Solve for x
    x = 138,724.80/320.36
  6. Step 6: Final answer
    x = 433.03

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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.