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Finding the Fourth Proportional to 295.92, 440.64 and 283.50

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Solution

The fourth proportional to 295.92, 440.64 and 283.50 is: 422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 440.64 = 283.50 : x
  2. Step 2: Convert to fraction form
    295.92/440.64 = 283.50/x
  3. Step 3: Cross multiply
    295.92x = 440.64 × 283.50
  4. Step 4: Simplify right side
    295.92x = 124,921.44
  5. Step 5: Solve for x
    x = 124,921.44/295.92
  6. Step 6: Final answer
    x = 422.15

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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.