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Finding the Fourth Proportional to 307.06, 457.81 and 299.23

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Solution

The fourth proportional to 307.06, 457.81 and 299.23 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.06 : 457.81 = 299.23 : x
  2. Step 2: Convert to fraction form
    307.06/457.81 = 299.23/x
  3. Step 3: Cross multiply
    307.06x = 457.81 × 299.23
  4. Step 4: Simplify right side
    307.06x = 136,990.49
  5. Step 5: Solve for x
    x = 136,990.49/307.06
  6. Step 6: Final answer
    x = 446.14

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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.