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Finding the Fourth Proportional to 259.21, 357.42 and 209.53

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Solution

The fourth proportional to 259.21, 357.42 and 209.53 is: 288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.21 : 357.42 = 209.53 : x
  2. Step 2: Convert to fraction form
    259.21/357.42 = 209.53/x
  3. Step 3: Cross multiply
    259.21x = 357.42 × 209.53
  4. Step 4: Simplify right side
    259.21x = 74,890.21
  5. Step 5: Solve for x
    x = 74,890.21/259.21
  6. Step 6: Final answer
    x = 288.92

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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.