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Finding the Fourth Proportional to 384.58, 574.07 and 335.98

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Solution

The fourth proportional to 384.58, 574.07 and 335.98 is: 501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.58 : 574.07 = 335.98 : x
  2. Step 2: Convert to fraction form
    384.58/574.07 = 335.98/x
  3. Step 3: Cross multiply
    384.58x = 574.07 × 335.98
  4. Step 4: Simplify right side
    384.58x = 192,876.04
  5. Step 5: Solve for x
    x = 192,876.04/384.58
  6. Step 6: Final answer
    x = 501.52

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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.