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Finding the Fourth Proportional to 442.64, 610.90 and 268.08

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Solution

The fourth proportional to 442.64, 610.90 and 268.08 is: 369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 610.90 = 268.08 : x
  2. Step 2: Convert to fraction form
    442.64/610.90 = 268.08/x
  3. Step 3: Cross multiply
    442.64x = 610.90 × 268.08
  4. Step 4: Simplify right side
    442.64x = 163,770.07
  5. Step 5: Solve for x
    x = 163,770.07/442.64
  6. Step 6: Final answer
    x = 369.98

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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.