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Finding the Fourth Proportional to 308.48, 459.97 and 304.70

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Solution

The fourth proportional to 308.48, 459.97 and 304.70 is: 454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.48 : 459.97 = 304.70 : x
  2. Step 2: Convert to fraction form
    308.48/459.97 = 304.70/x
  3. Step 3: Cross multiply
    308.48x = 459.97 × 304.70
  4. Step 4: Simplify right side
    308.48x = 140,152.86
  5. Step 5: Solve for x
    x = 140,152.86/308.48
  6. Step 6: Final answer
    x = 454.33

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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.