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Finding the Fourth Proportional to 304.45, 454.17 and 281.50

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Solution

The fourth proportional to 304.45, 454.17 and 281.50 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 454.17 = 281.50 : x
  2. Step 2: Convert to fraction form
    304.45/454.17 = 281.50/x
  3. Step 3: Cross multiply
    304.45x = 454.17 × 281.50
  4. Step 4: Simplify right side
    304.45x = 127,848.15
  5. Step 5: Solve for x
    x = 127,848.15/304.45
  6. Step 6: Final answer
    x = 419.93

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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.