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Finding the Fourth Proportional to 330.56, 493.60 and 307.88

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Solution

The fourth proportional to 330.56, 493.60 and 307.88 is: 459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 493.60 = 307.88 : x
  2. Step 2: Convert to fraction form
    330.56/493.60 = 307.88/x
  3. Step 3: Cross multiply
    330.56x = 493.60 × 307.88
  4. Step 4: Simplify right side
    330.56x = 151,969.57
  5. Step 5: Solve for x
    x = 151,969.57/330.56
  6. Step 6: Final answer
    x = 459.73

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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.