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Finding the Fourth Proportional to 258.86, 356.16 and 223.77

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Solution

The fourth proportional to 258.86, 356.16 and 223.77 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 356.16 = 223.77 : x
  2. Step 2: Convert to fraction form
    258.86/356.16 = 223.77/x
  3. Step 3: Cross multiply
    258.86x = 356.16 × 223.77
  4. Step 4: Simplify right side
    258.86x = 79,699.37
  5. Step 5: Solve for x
    x = 79,699.37/258.86
  6. Step 6: Final answer
    x = 307.89

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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.