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Finding the Fourth Proportional to 275.94, 411.35 and 237.60

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Solution

The fourth proportional to 275.94, 411.35 and 237.60 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 411.35 = 237.60 : x
  2. Step 2: Convert to fraction form
    275.94/411.35 = 237.60/x
  3. Step 3: Cross multiply
    275.94x = 411.35 × 237.60
  4. Step 4: Simplify right side
    275.94x = 97,735.57
  5. Step 5: Solve for x
    x = 97,735.57/275.94
  6. Step 6: Final answer
    x = 354.19

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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.