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Finding the Fourth Proportional to 320.70, 480.62 and 233.14

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Solution

The fourth proportional to 320.70, 480.62 and 233.14 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.70 : 480.62 = 233.14 : x
  2. Step 2: Convert to fraction form
    320.70/480.62 = 233.14/x
  3. Step 3: Cross multiply
    320.70x = 480.62 × 233.14
  4. Step 4: Simplify right side
    320.70x = 112,051.75
  5. Step 5: Solve for x
    x = 112,051.75/320.70
  6. Step 6: Final answer
    x = 349.40

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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.