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Finding the Fourth Proportional to 231.25, 345.83 and 176.42

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Solution

The fourth proportional to 231.25, 345.83 and 176.42 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.25 : 345.83 = 176.42 : x
  2. Step 2: Convert to fraction form
    231.25/345.83 = 176.42/x
  3. Step 3: Cross multiply
    231.25x = 345.83 × 176.42
  4. Step 4: Simplify right side
    231.25x = 61,012.63
  5. Step 5: Solve for x
    x = 61,012.63/231.25
  6. Step 6: Final answer
    x = 263.84

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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.