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Finding the Fourth Proportional to 306.56, 457.63 and 262.75

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Solution

The fourth proportional to 306.56, 457.63 and 262.75 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 457.63 = 262.75 : x
  2. Step 2: Convert to fraction form
    306.56/457.63 = 262.75/x
  3. Step 3: Cross multiply
    306.56x = 457.63 × 262.75
  4. Step 4: Simplify right side
    306.56x = 120,242.28
  5. Step 5: Solve for x
    x = 120,242.28/306.56
  6. Step 6: Final answer
    x = 392.23

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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.