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Finding the Fourth Proportional to 257.74, 388.51 and 242.88

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Solution

The fourth proportional to 257.74, 388.51 and 242.88 is: 366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.74 : 388.51 = 242.88 : x
  2. Step 2: Convert to fraction form
    257.74/388.51 = 242.88/x
  3. Step 3: Cross multiply
    257.74x = 388.51 × 242.88
  4. Step 4: Simplify right side
    257.74x = 94,361.31
  5. Step 5: Solve for x
    x = 94,361.31/257.74
  6. Step 6: Final answer
    x = 366.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.