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Finding the Fourth Proportional to 338.47, 507.79 and 330.78

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Solution

The fourth proportional to 338.47, 507.79 and 330.78 is: 496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 507.79 = 330.78 : x
  2. Step 2: Convert to fraction form
    338.47/507.79 = 330.78/x
  3. Step 3: Cross multiply
    338.47x = 507.79 × 330.78
  4. Step 4: Simplify right side
    338.47x = 167,970.02
  5. Step 5: Solve for x
    x = 167,970.02/338.47
  6. Step 6: Final answer
    x = 496.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.