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Finding the Fourth Proportional to 259.00, 354.60 and 256.49

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Solution

The fourth proportional to 259.00, 354.60 and 256.49 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.00 : 354.60 = 256.49 : x
  2. Step 2: Convert to fraction form
    259.00/354.60 = 256.49/x
  3. Step 3: Cross multiply
    259.00x = 354.60 × 256.49
  4. Step 4: Simplify right side
    259.00x = 90,950.91
  5. Step 5: Solve for x
    x = 90,950.91/259.00
  6. Step 6: Final answer
    x = 351.17

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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.