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Finding the Fourth Proportional to 259.83, 388.53 and 256.19

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Solution

The fourth proportional to 259.83, 388.53 and 256.19 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.83 : 388.53 = 256.19 : x
  2. Step 2: Convert to fraction form
    259.83/388.53 = 256.19/x
  3. Step 3: Cross multiply
    259.83x = 388.53 × 256.19
  4. Step 4: Simplify right side
    259.83x = 99,535.56
  5. Step 5: Solve for x
    x = 99,535.56/259.83
  6. Step 6: Final answer
    x = 383.08

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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.