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Finding the Fourth Proportional to 306.80, 456.53 and 305.78

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Solution

The fourth proportional to 306.80, 456.53 and 305.78 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 456.53 = 305.78 : x
  2. Step 2: Convert to fraction form
    306.80/456.53 = 305.78/x
  3. Step 3: Cross multiply
    306.80x = 456.53 × 305.78
  4. Step 4: Simplify right side
    306.80x = 139,593.93
  5. Step 5: Solve for x
    x = 139,593.93/306.80
  6. Step 6: Final answer
    x = 455.01

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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.