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Finding the Fourth Proportional to 320.11, 480.16 and 114.63

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Solution

The fourth proportional to 320.11, 480.16 and 114.63 is: 171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.11 : 480.16 = 114.63 : x
  2. Step 2: Convert to fraction form
    320.11/480.16 = 114.63/x
  3. Step 3: Cross multiply
    320.11x = 480.16 × 114.63
  4. Step 4: Simplify right side
    320.11x = 55,038.20
  5. Step 5: Solve for x
    x = 55,038.20/320.11
  6. Step 6: Final answer
    x = 171.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.