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Finding the Fourth Proportional to 388.78, 536.96 and 264.23

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Solution

The fourth proportional to 388.78, 536.96 and 264.23 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.78 : 536.96 = 264.23 : x
  2. Step 2: Convert to fraction form
    388.78/536.96 = 264.23/x
  3. Step 3: Cross multiply
    388.78x = 536.96 × 264.23
  4. Step 4: Simplify right side
    388.78x = 141,880.94
  5. Step 5: Solve for x
    x = 141,880.94/388.78
  6. Step 6: Final answer
    x = 364.94

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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.