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Finding the Fourth Proportional to 533.81, 800.40 and 259.63

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Solution

The fourth proportional to 533.81, 800.40 and 259.63 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 800.40 = 259.63 : x
  2. Step 2: Convert to fraction form
    533.81/800.40 = 259.63/x
  3. Step 3: Cross multiply
    533.81x = 800.40 × 259.63
  4. Step 4: Simplify right side
    533.81x = 207,803.20
  5. Step 5: Solve for x
    x = 207,803.20/533.81
  6. Step 6: Final answer
    x = 389.28

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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.