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Finding the Fourth Proportional to 275.16, 381.50 and 258.60

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Solution

The fourth proportional to 275.16, 381.50 and 258.60 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 381.50 = 258.60 : x
  2. Step 2: Convert to fraction form
    275.16/381.50 = 258.60/x
  3. Step 3: Cross multiply
    275.16x = 381.50 × 258.60
  4. Step 4: Simplify right side
    275.16x = 98,654.61
  5. Step 5: Solve for x
    x = 98,654.61/275.16
  6. Step 6: Final answer
    x = 358.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.