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Finding the Fourth Proportional to 388.72, 536.68 and 257.84

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Solution

The fourth proportional to 388.72, 536.68 and 257.84 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.72 : 536.68 = 257.84 : x
  2. Step 2: Convert to fraction form
    388.72/536.68 = 257.84/x
  3. Step 3: Cross multiply
    388.72x = 536.68 × 257.84
  4. Step 4: Simplify right side
    388.72x = 138,377.57
  5. Step 5: Solve for x
    x = 138,377.57/388.72
  6. Step 6: Final answer
    x = 355.98

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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.