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Finding the Fourth Proportional to 532.91, 799.45 and 186.23

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Solution

The fourth proportional to 532.91, 799.45 and 186.23 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.91 : 799.45 = 186.23 : x
  2. Step 2: Convert to fraction form
    532.91/799.45 = 186.23/x
  3. Step 3: Cross multiply
    532.91x = 799.45 × 186.23
  4. Step 4: Simplify right side
    532.91x = 148,883.11
  5. Step 5: Solve for x
    x = 148,883.11/532.91
  6. Step 6: Final answer
    x = 279.38

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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.