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Finding the Fourth Proportional to 259.00, 387.89 and 256.57

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Solution

The fourth proportional to 259.00, 387.89 and 256.57 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.00 : 387.89 = 256.57 : x
  2. Step 2: Convert to fraction form
    259.00/387.89 = 256.57/x
  3. Step 3: Cross multiply
    259.00x = 387.89 × 256.57
  4. Step 4: Simplify right side
    259.00x = 99,519.65
  5. Step 5: Solve for x
    x = 99,519.65/259.00
  6. Step 6: Final answer
    x = 384.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.