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Finding the Fourth Proportional to 532.77, 799.28 and 208.16

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Solution

The fourth proportional to 532.77, 799.28 and 208.16 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.77 : 799.28 = 208.16 : x
  2. Step 2: Convert to fraction form
    532.77/799.28 = 208.16/x
  3. Step 3: Cross multiply
    532.77x = 799.28 × 208.16
  4. Step 4: Simplify right side
    532.77x = 166,378.12
  5. Step 5: Solve for x
    x = 166,378.12/532.77
  6. Step 6: Final answer
    x = 312.29

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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.