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Finding the Fourth Proportional to 384.19, 574.91 and 333.01

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Solution

The fourth proportional to 384.19, 574.91 and 333.01 is: 498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 574.91 = 333.01 : x
  2. Step 2: Convert to fraction form
    384.19/574.91 = 333.01/x
  3. Step 3: Cross multiply
    384.19x = 574.91 × 333.01
  4. Step 4: Simplify right side
    384.19x = 191,447.90
  5. Step 5: Solve for x
    x = 191,447.90/384.19
  6. Step 6: Final answer
    x = 498.32

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Why These Related Problems?

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