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Finding the Fourth Proportional to 306.48, 457.25 and 295.28

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Solution

The fourth proportional to 306.48, 457.25 and 295.28 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 457.25 = 295.28 : x
  2. Step 2: Convert to fraction form
    306.48/457.25 = 295.28/x
  3. Step 3: Cross multiply
    306.48x = 457.25 × 295.28
  4. Step 4: Simplify right side
    306.48x = 135,014.49
  5. Step 5: Solve for x
    x = 135,014.49/306.48
  6. Step 6: Final answer
    x = 440.53

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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.