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Finding the Fourth Proportional to 328.80, 489.05 and 299.58

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Solution

The fourth proportional to 328.80, 489.05 and 299.58 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 489.05 = 299.58 : x
  2. Step 2: Convert to fraction form
    328.80/489.05 = 299.58/x
  3. Step 3: Cross multiply
    328.80x = 489.05 × 299.58
  4. Step 4: Simplify right side
    328.80x = 146,509.60
  5. Step 5: Solve for x
    x = 146,509.60/328.80
  6. Step 6: Final answer
    x = 445.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.