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Finding the Fourth Proportional to 339.78, 468.75 and 215.40

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Solution

The fourth proportional to 339.78, 468.75 and 215.40 is: 297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 468.75 = 215.40 : x
  2. Step 2: Convert to fraction form
    339.78/468.75 = 215.40/x
  3. Step 3: Cross multiply
    339.78x = 468.75 × 215.40
  4. Step 4: Simplify right side
    339.78x = 100,968.75
  5. Step 5: Solve for x
    x = 100,968.75/339.78
  6. Step 6: Final answer
    x = 297.16

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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.