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Finding the Fourth Proportional to 330.77, 493.24 and 285.41

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Solution

The fourth proportional to 330.77, 493.24 and 285.41 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.77 : 493.24 = 285.41 : x
  2. Step 2: Convert to fraction form
    330.77/493.24 = 285.41/x
  3. Step 3: Cross multiply
    330.77x = 493.24 × 285.41
  4. Step 4: Simplify right side
    330.77x = 140,775.63
  5. Step 5: Solve for x
    x = 140,775.63/330.77
  6. Step 6: Final answer
    x = 425.60

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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.