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Finding the Fourth Proportional to 257.65, 355.19 and 211.01

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Solution

The fourth proportional to 257.65, 355.19 and 211.01 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.65 : 355.19 = 211.01 : x
  2. Step 2: Convert to fraction form
    257.65/355.19 = 211.01/x
  3. Step 3: Cross multiply
    257.65x = 355.19 × 211.01
  4. Step 4: Simplify right side
    257.65x = 74,945.81
  5. Step 5: Solve for x
    x = 74,945.81/257.65
  6. Step 6: Final answer
    x = 290.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.