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Finding the Fourth Proportional to 205.48, 306.91 and 176.68

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Solution

The fourth proportional to 205.48, 306.91 and 176.68 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 306.91 = 176.68 : x
  2. Step 2: Convert to fraction form
    205.48/306.91 = 176.68/x
  3. Step 3: Cross multiply
    205.48x = 306.91 × 176.68
  4. Step 4: Simplify right side
    205.48x = 54,224.86
  5. Step 5: Solve for x
    x = 54,224.86/205.48
  6. Step 6: Final answer
    x = 263.89

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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.