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Finding the Fourth Proportional to 533.95, 801.15 and 290.19

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Solution

The fourth proportional to 533.95, 801.15 and 290.19 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.95 : 801.15 = 290.19 : x
  2. Step 2: Convert to fraction form
    533.95/801.15 = 290.19/x
  3. Step 3: Cross multiply
    533.95x = 801.15 × 290.19
  4. Step 4: Simplify right side
    533.95x = 232,485.72
  5. Step 5: Solve for x
    x = 232,485.72/533.95
  6. Step 6: Final answer
    x = 435.41

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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.