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Finding the Fourth Proportional to 304.98, 454.80 and 288.31

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Solution

The fourth proportional to 304.98, 454.80 and 288.31 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 454.80 = 288.31 : x
  2. Step 2: Convert to fraction form
    304.98/454.80 = 288.31/x
  3. Step 3: Cross multiply
    304.98x = 454.80 × 288.31
  4. Step 4: Simplify right side
    304.98x = 131,123.39
  5. Step 5: Solve for x
    x = 131,123.39/304.98
  6. Step 6: Final answer
    x = 429.94

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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.