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Finding the Fourth Proportional to 258.66, 385.79 and 253.26

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Solution

The fourth proportional to 258.66, 385.79 and 253.26 is: 377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 385.79 = 253.26 : x
  2. Step 2: Convert to fraction form
    258.66/385.79 = 253.26/x
  3. Step 3: Cross multiply
    258.66x = 385.79 × 253.26
  4. Step 4: Simplify right side
    258.66x = 97,703.91
  5. Step 5: Solve for x
    x = 97,703.91/258.66
  6. Step 6: Final answer
    x = 377.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.