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Finding the Fourth Proportional to 295.72, 440.65 and 263.41

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Solution

The fourth proportional to 295.72, 440.65 and 263.41 is: 392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.72 : 440.65 = 263.41 : x
  2. Step 2: Convert to fraction form
    295.72/440.65 = 263.41/x
  3. Step 3: Cross multiply
    295.72x = 440.65 × 263.41
  4. Step 4: Simplify right side
    295.72x = 116,071.62
  5. Step 5: Solve for x
    x = 116,071.62/295.72
  6. Step 6: Final answer
    x = 392.51

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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.