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Finding the Fourth Proportional to 330.84, 493.32 and 306.54

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Solution

The fourth proportional to 330.84, 493.32 and 306.54 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 493.32 = 306.54 : x
  2. Step 2: Convert to fraction form
    330.84/493.32 = 306.54/x
  3. Step 3: Cross multiply
    330.84x = 493.32 × 306.54
  4. Step 4: Simplify right side
    330.84x = 151,222.31
  5. Step 5: Solve for x
    x = 151,222.31/330.84
  6. Step 6: Final answer
    x = 457.09

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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.