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Finding the Fourth Proportional to 307.05, 458.67 and 246.30

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Solution

The fourth proportional to 307.05, 458.67 and 246.30 is: 367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 458.67 = 246.30 : x
  2. Step 2: Convert to fraction form
    307.05/458.67 = 246.30/x
  3. Step 3: Cross multiply
    307.05x = 458.67 × 246.30
  4. Step 4: Simplify right side
    307.05x = 112,970.42
  5. Step 5: Solve for x
    x = 112,970.42/307.05
  6. Step 6: Final answer
    x = 367.92

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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.