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Finding the Fourth Proportional to 388.32, 536.01 and 257.34

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Solution

The fourth proportional to 388.32, 536.01 and 257.34 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.32 : 536.01 = 257.34 : x
  2. Step 2: Convert to fraction form
    388.32/536.01 = 257.34/x
  3. Step 3: Cross multiply
    388.32x = 536.01 × 257.34
  4. Step 4: Simplify right side
    388.32x = 137,936.81
  5. Step 5: Solve for x
    x = 137,936.81/388.32
  6. Step 6: Final answer
    x = 355.21

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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.