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Finding the Fourth Proportional to 259.47, 357.21 and 210.20

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Solution

The fourth proportional to 259.47, 357.21 and 210.20 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.47 : 357.21 = 210.20 : x
  2. Step 2: Convert to fraction form
    259.47/357.21 = 210.20/x
  3. Step 3: Cross multiply
    259.47x = 357.21 × 210.20
  4. Step 4: Simplify right side
    259.47x = 75,083.76
  5. Step 5: Solve for x
    x = 75,083.76/259.47
  6. Step 6: Final answer
    x = 289.37

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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.