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Finding the Fourth Proportional to 388.51, 536.29 and 257.56

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Solution

The fourth proportional to 388.51, 536.29 and 257.56 is: 355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.51 : 536.29 = 257.56 : x
  2. Step 2: Convert to fraction form
    388.51/536.29 = 257.56/x
  3. Step 3: Cross multiply
    388.51x = 536.29 × 257.56
  4. Step 4: Simplify right side
    388.51x = 138,126.85
  5. Step 5: Solve for x
    x = 138,126.85/388.51
  6. Step 6: Final answer
    x = 355.53

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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.