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Finding the Fourth Proportional to 320.72, 444.31 and 313.16

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Solution

The fourth proportional to 320.72, 444.31 and 313.16 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 444.31 = 313.16 : x
  2. Step 2: Convert to fraction form
    320.72/444.31 = 313.16/x
  3. Step 3: Cross multiply
    320.72x = 444.31 × 313.16
  4. Step 4: Simplify right side
    320.72x = 139,140.12
  5. Step 5: Solve for x
    x = 139,140.12/320.72
  6. Step 6: Final answer
    x = 433.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.