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Finding the Fourth Proportional to 532.68, 799.08 and 208.02

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Solution

The fourth proportional to 532.68, 799.08 and 208.02 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.68 : 799.08 = 208.02 : x
  2. Step 2: Convert to fraction form
    532.68/799.08 = 208.02/x
  3. Step 3: Cross multiply
    532.68x = 799.08 × 208.02
  4. Step 4: Simplify right side
    532.68x = 166,224.62
  5. Step 5: Solve for x
    x = 166,224.62/532.68
  6. Step 6: Final answer
    x = 312.05

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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.