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Finding the Fourth Proportional to 295.08, 445.44 and 284.45

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Solution

The fourth proportional to 295.08, 445.44 and 284.45 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 445.44 = 284.45 : x
  2. Step 2: Convert to fraction form
    295.08/445.44 = 284.45/x
  3. Step 3: Cross multiply
    295.08x = 445.44 × 284.45
  4. Step 4: Simplify right side
    295.08x = 126,703.18
  5. Step 5: Solve for x
    x = 126,703.18/295.08
  6. Step 6: Final answer
    x = 429.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.