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Finding the Fourth Proportional to 404.66, 557.98 and 330.74

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Solution

The fourth proportional to 404.66, 557.98 and 330.74 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 557.98 = 330.74 : x
  2. Step 2: Convert to fraction form
    404.66/557.98 = 330.74/x
  3. Step 3: Cross multiply
    404.66x = 557.98 × 330.74
  4. Step 4: Simplify right side
    404.66x = 184,546.31
  5. Step 5: Solve for x
    x = 184,546.31/404.66
  6. Step 6: Final answer
    x = 456.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.