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Finding the Fourth Proportional to 320.07, 440.73 and 289.20

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Solution

The fourth proportional to 320.07, 440.73 and 289.20 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.07 : 440.73 = 289.20 : x
  2. Step 2: Convert to fraction form
    320.07/440.73 = 289.20/x
  3. Step 3: Cross multiply
    320.07x = 440.73 × 289.20
  4. Step 4: Simplify right side
    320.07x = 127,459.12
  5. Step 5: Solve for x
    x = 127,459.12/320.07
  6. Step 6: Final answer
    x = 398.22

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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.