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Finding the Fourth Proportional to 386.76, 532.94 and 367.93

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Solution

The fourth proportional to 386.76, 532.94 and 367.93 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 532.94 = 367.93 : x
  2. Step 2: Convert to fraction form
    386.76/532.94 = 367.93/x
  3. Step 3: Cross multiply
    386.76x = 532.94 × 367.93
  4. Step 4: Simplify right side
    386.76x = 196,084.61
  5. Step 5: Solve for x
    x = 196,084.61/386.76
  6. Step 6: Final answer
    x = 506.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.