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Finding the Fourth Proportional to 480.98, 663.66 and 294.51

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Solution

The fourth proportional to 480.98, 663.66 and 294.51 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.98 : 663.66 = 294.51 : x
  2. Step 2: Convert to fraction form
    480.98/663.66 = 294.51/x
  3. Step 3: Cross multiply
    480.98x = 663.66 × 294.51
  4. Step 4: Simplify right side
    480.98x = 195,454.51
  5. Step 5: Solve for x
    x = 195,454.51/480.98
  6. Step 6: Final answer
    x = 406.37

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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.