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Finding the Fourth Proportional to 307.24, 458.74 and 263.85

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Solution

The fourth proportional to 307.24, 458.74 and 263.85 is: 393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 458.74 = 263.85 : x
  2. Step 2: Convert to fraction form
    307.24/458.74 = 263.85/x
  3. Step 3: Cross multiply
    307.24x = 458.74 × 263.85
  4. Step 4: Simplify right side
    307.24x = 121,034.94
  5. Step 5: Solve for x
    x = 121,034.94/307.24
  6. Step 6: Final answer
    x = 393.94

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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.