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Finding the Fourth Proportional to 288.06, 429.30 and 259.44

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Solution

The fourth proportional to 288.06, 429.30 and 259.44 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.06 : 429.30 = 259.44 : x
  2. Step 2: Convert to fraction form
    288.06/429.30 = 259.44/x
  3. Step 3: Cross multiply
    288.06x = 429.30 × 259.44
  4. Step 4: Simplify right side
    288.06x = 111,377.59
  5. Step 5: Solve for x
    x = 111,377.59/288.06
  6. Step 6: Final answer
    x = 386.65

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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.