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Finding the Fourth Proportional to 257.51, 385.86 and 135.65

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Solution

The fourth proportional to 257.51, 385.86 and 135.65 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 385.86 = 135.65 : x
  2. Step 2: Convert to fraction form
    257.51/385.86 = 135.65/x
  3. Step 3: Cross multiply
    257.51x = 385.86 × 135.65
  4. Step 4: Simplify right side
    257.51x = 52,341.91
  5. Step 5: Solve for x
    x = 52,341.91/257.51
  6. Step 6: Final answer
    x = 203.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.