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Finding the Fourth Proportional to 257.34, 355.05 and 153.84

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Solution

The fourth proportional to 257.34, 355.05 and 153.84 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 355.05 = 153.84 : x
  2. Step 2: Convert to fraction form
    257.34/355.05 = 153.84/x
  3. Step 3: Cross multiply
    257.34x = 355.05 × 153.84
  4. Step 4: Simplify right side
    257.34x = 54,620.89
  5. Step 5: Solve for x
    x = 54,620.89/257.34
  6. Step 6: Final answer
    x = 212.25

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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.