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Finding the Fourth Proportional to 532.65, 799.06 and 272.51

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Solution

The fourth proportional to 532.65, 799.06 and 272.51 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 799.06 = 272.51 : x
  2. Step 2: Convert to fraction form
    532.65/799.06 = 272.51/x
  3. Step 3: Cross multiply
    532.65x = 799.06 × 272.51
  4. Step 4: Simplify right side
    532.65x = 217,750.48
  5. Step 5: Solve for x
    x = 217,750.48/532.65
  6. Step 6: Final answer
    x = 408.81

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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.