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Finding the Fourth Proportional to 295.45, 440.74 and 256.97

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Solution

The fourth proportional to 295.45, 440.74 and 256.97 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 440.74 = 256.97 : x
  2. Step 2: Convert to fraction form
    295.45/440.74 = 256.97/x
  3. Step 3: Cross multiply
    295.45x = 440.74 × 256.97
  4. Step 4: Simplify right side
    295.45x = 113,258.38
  5. Step 5: Solve for x
    x = 113,258.38/295.45
  6. Step 6: Final answer
    x = 383.35

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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.