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Finding the Fourth Proportional to 388.93, 536.75 and 257.85

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Solution

The fourth proportional to 388.93, 536.75 and 257.85 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.93 : 536.75 = 257.85 : x
  2. Step 2: Convert to fraction form
    388.93/536.75 = 257.85/x
  3. Step 3: Cross multiply
    388.93x = 536.75 × 257.85
  4. Step 4: Simplify right side
    388.93x = 138,400.99
  5. Step 5: Solve for x
    x = 138,400.99/388.93
  6. Step 6: Final answer
    x = 355.85

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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.