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Finding the Fourth Proportional to 273, 411.58 and 258

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Solution

The fourth proportional to 273, 411.58 and 258 is: 388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 411.58 = 258 : x
  2. Step 2: Convert to fraction form
    273/411.58 = 258/x
  3. Step 3: Cross multiply
    273x = 411.58 × 258
  4. Step 4: Simplify right side
    273x = 106,187.64
  5. Step 5: Solve for x
    x = 106,187.64/273
  6. Step 6: Final answer
    x = 388.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.