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Finding the Fourth Proportional to 329.53, 454.70 and 320.67

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Solution

The fourth proportional to 329.53, 454.70 and 320.67 is: 442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 454.70 = 320.67 : x
  2. Step 2: Convert to fraction form
    329.53/454.70 = 320.67/x
  3. Step 3: Cross multiply
    329.53x = 454.70 × 320.67
  4. Step 4: Simplify right side
    329.53x = 145,808.65
  5. Step 5: Solve for x
    x = 145,808.65/329.53
  6. Step 6: Final answer
    x = 442.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.