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Finding the Fourth Proportional to 306.06, 456.88 and 262.25

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Solution

The fourth proportional to 306.06, 456.88 and 262.25 is: 391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 456.88 = 262.25 : x
  2. Step 2: Convert to fraction form
    306.06/456.88 = 262.25/x
  3. Step 3: Cross multiply
    306.06x = 456.88 × 262.25
  4. Step 4: Simplify right side
    306.06x = 119,816.78
  5. Step 5: Solve for x
    x = 119,816.78/306.06
  6. Step 6: Final answer
    x = 391.48

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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.