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Finding the Fourth Proportional to 259.44, 357.66 and 210.30

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Solution

The fourth proportional to 259.44, 357.66 and 210.30 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 357.66 = 210.30 : x
  2. Step 2: Convert to fraction form
    259.44/357.66 = 210.30/x
  3. Step 3: Cross multiply
    259.44x = 357.66 × 210.30
  4. Step 4: Simplify right side
    259.44x = 75,215.90
  5. Step 5: Solve for x
    x = 75,215.90/259.44
  6. Step 6: Final answer
    x = 289.92

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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.