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Finding the Fourth Proportional to 272.50, 410.72 and 257.65

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Solution

The fourth proportional to 272.50, 410.72 and 257.65 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.50 : 410.72 = 257.65 : x
  2. Step 2: Convert to fraction form
    272.50/410.72 = 257.65/x
  3. Step 3: Cross multiply
    272.50x = 410.72 × 257.65
  4. Step 4: Simplify right side
    272.50x = 105,819.69
  5. Step 5: Solve for x
    x = 105,819.69/272.50
  6. Step 6: Final answer
    x = 388.33

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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.