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Finding the Fourth Proportional to 320.02, 441.20 and 313.12

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Solution

The fourth proportional to 320.02, 441.20 and 313.12 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 441.20 = 313.12 : x
  2. Step 2: Convert to fraction form
    320.02/441.20 = 313.12/x
  3. Step 3: Cross multiply
    320.02x = 441.20 × 313.12
  4. Step 4: Simplify right side
    320.02x = 138,146.98
  5. Step 5: Solve for x
    x = 138,146.98/320.02
  6. Step 6: Final answer
    x = 431.68

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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.