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Finding the Fourth Proportional to 292.38, 436.95 and 214.44

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Solution

The fourth proportional to 292.38, 436.95 and 214.44 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 436.95 = 214.44 : x
  2. Step 2: Convert to fraction form
    292.38/436.95 = 214.44/x
  3. Step 3: Cross multiply
    292.38x = 436.95 × 214.44
  4. Step 4: Simplify right side
    292.38x = 93,699.56
  5. Step 5: Solve for x
    x = 93,699.56/292.38
  6. Step 6: Final answer
    x = 320.47

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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.