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Finding the Fourth Proportional to 339.61, 468.25 and 287.06

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Solution

The fourth proportional to 339.61, 468.25 and 287.06 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.61 : 468.25 = 287.06 : x
  2. Step 2: Convert to fraction form
    339.61/468.25 = 287.06/x
  3. Step 3: Cross multiply
    339.61x = 468.25 × 287.06
  4. Step 4: Simplify right side
    339.61x = 134,417.73
  5. Step 5: Solve for x
    x = 134,417.73/339.61
  6. Step 6: Final answer
    x = 395.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.