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Finding the Fourth Proportional to 259.30, 356.24 and 210.03

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Solution

The fourth proportional to 259.30, 356.24 and 210.03 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.30 : 356.24 = 210.03 : x
  2. Step 2: Convert to fraction form
    259.30/356.24 = 210.03/x
  3. Step 3: Cross multiply
    259.30x = 356.24 × 210.03
  4. Step 4: Simplify right side
    259.30x = 74,821.09
  5. Step 5: Solve for x
    x = 74,821.09/259.30
  6. Step 6: Final answer
    x = 288.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.