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Finding the Fourth Proportional to 385, 574.75 and 333.40

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Solution

The fourth proportional to 385, 574.75 and 333.40 is: 497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385 : 574.75 = 333.40 : x
  2. Step 2: Convert to fraction form
    385/574.75 = 333.40/x
  3. Step 3: Cross multiply
    385x = 574.75 × 333.40
  4. Step 4: Simplify right side
    385x = 191,621.65
  5. Step 5: Solve for x
    x = 191,621.65/385
  6. Step 6: Final answer
    x = 497.72

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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.