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Finding the Fourth Proportional to 533.35, 799.35 and 290.08

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Solution

The fourth proportional to 533.35, 799.35 and 290.08 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.35 : 799.35 = 290.08 : x
  2. Step 2: Convert to fraction form
    533.35/799.35 = 290.08/x
  3. Step 3: Cross multiply
    533.35x = 799.35 × 290.08
  4. Step 4: Simplify right side
    533.35x = 231,875.45
  5. Step 5: Solve for x
    x = 231,875.45/533.35
  6. Step 6: Final answer
    x = 434.75

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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.