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Finding the Fourth Proportional to 307.28, 457.30 and 295.76

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Solution

The fourth proportional to 307.28, 457.30 and 295.76 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 457.30 = 295.76 : x
  2. Step 2: Convert to fraction form
    307.28/457.30 = 295.76/x
  3. Step 3: Cross multiply
    307.28x = 457.30 × 295.76
  4. Step 4: Simplify right side
    307.28x = 135,251.05
  5. Step 5: Solve for x
    x = 135,251.05/307.28
  6. Step 6: Final answer
    x = 440.16

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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.