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Finding the Fourth Proportional to 257, 354.75 and 153.50

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Solution

The fourth proportional to 257, 354.75 and 153.50 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 354.75 = 153.50 : x
  2. Step 2: Convert to fraction form
    257/354.75 = 153.50/x
  3. Step 3: Cross multiply
    257x = 354.75 × 153.50
  4. Step 4: Simplify right side
    257x = 54,454.13
  5. Step 5: Solve for x
    x = 54,454.13/257
  6. Step 6: Final answer
    x = 211.88

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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.