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Finding the Fourth Proportional to 384.68, 574.21 and 333.68

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Solution

The fourth proportional to 384.68, 574.21 and 333.68 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 574.21 = 333.68 : x
  2. Step 2: Convert to fraction form
    384.68/574.21 = 333.68/x
  3. Step 3: Cross multiply
    384.68x = 574.21 × 333.68
  4. Step 4: Simplify right side
    384.68x = 191,602.39
  5. Step 5: Solve for x
    x = 191,602.39/384.68
  6. Step 6: Final answer
    x = 498.08

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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.