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Finding the Fourth Proportional to 295.04, 440.20 and 259.04

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Solution

The fourth proportional to 295.04, 440.20 and 259.04 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 440.20 = 259.04 : x
  2. Step 2: Convert to fraction form
    295.04/440.20 = 259.04/x
  3. Step 3: Cross multiply
    295.04x = 440.20 × 259.04
  4. Step 4: Simplify right side
    295.04x = 114,029.41
  5. Step 5: Solve for x
    x = 114,029.41/295.04
  6. Step 6: Final answer
    x = 386.49

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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.