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Finding the Fourth Proportional to 297.42, 442.88 and 285

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Solution

The fourth proportional to 297.42, 442.88 and 285 is: 424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 442.88 = 285 : x
  2. Step 2: Convert to fraction form
    297.42/442.88 = 285/x
  3. Step 3: Cross multiply
    297.42x = 442.88 × 285
  4. Step 4: Simplify right side
    297.42x = 126,219.38
  5. Step 5: Solve for x
    x = 126,219.38/297.42
  6. Step 6: Final answer
    x = 424.38

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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.