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Finding the Fourth Proportional to 292.12, 434.57 and 274.84

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Solution

The fourth proportional to 292.12, 434.57 and 274.84 is: 408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 434.57 = 274.84 : x
  2. Step 2: Convert to fraction form
    292.12/434.57 = 274.84/x
  3. Step 3: Cross multiply
    292.12x = 434.57 × 274.84
  4. Step 4: Simplify right side
    292.12x = 119,437.22
  5. Step 5: Solve for x
    x = 119,437.22/292.12
  6. Step 6: Final answer
    x = 408.86

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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.