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Finding the Fourth Proportional to 320.16, 440.91 and 305.58

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Solution

The fourth proportional to 320.16, 440.91 and 305.58 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.16 : 440.91 = 305.58 : x
  2. Step 2: Convert to fraction form
    320.16/440.91 = 305.58/x
  3. Step 3: Cross multiply
    320.16x = 440.91 × 305.58
  4. Step 4: Simplify right side
    320.16x = 134,733.28
  5. Step 5: Solve for x
    x = 134,733.28/320.16
  6. Step 6: Final answer
    x = 420.83

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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.