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Finding the Fourth Proportional to 328.37, 489.65 and 306.03

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Solution

The fourth proportional to 328.37, 489.65 and 306.03 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.37 : 489.65 = 306.03 : x
  2. Step 2: Convert to fraction form
    328.37/489.65 = 306.03/x
  3. Step 3: Cross multiply
    328.37x = 489.65 × 306.03
  4. Step 4: Simplify right side
    328.37x = 149,848.93
  5. Step 5: Solve for x
    x = 149,848.93/328.37
  6. Step 6: Final answer
    x = 456.34

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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.