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Finding the Fourth Proportional to 384.80, 529.74 and 333.03

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Solution

The fourth proportional to 384.80, 529.74 and 333.03 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 529.74 = 333.03 : x
  2. Step 2: Convert to fraction form
    384.80/529.74 = 333.03/x
  3. Step 3: Cross multiply
    384.80x = 529.74 × 333.03
  4. Step 4: Simplify right side
    384.80x = 176,419.31
  5. Step 5: Solve for x
    x = 176,419.31/384.80
  6. Step 6: Final answer
    x = 458.47

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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.