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Finding the Fourth Proportional to 330.98, 494.29 and 266.08

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Solution

The fourth proportional to 330.98, 494.29 and 266.08 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 494.29 = 266.08 : x
  2. Step 2: Convert to fraction form
    330.98/494.29 = 266.08/x
  3. Step 3: Cross multiply
    330.98x = 494.29 × 266.08
  4. Step 4: Simplify right side
    330.98x = 131,518.21
  5. Step 5: Solve for x
    x = 131,518.21/330.98
  6. Step 6: Final answer
    x = 397.36

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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.