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Finding the Fourth Proportional to 307.48, 458.74 and 296.27

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Solution

The fourth proportional to 307.48, 458.74 and 296.27 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.48 : 458.74 = 296.27 : x
  2. Step 2: Convert to fraction form
    307.48/458.74 = 296.27/x
  3. Step 3: Cross multiply
    307.48x = 458.74 × 296.27
  4. Step 4: Simplify right side
    307.48x = 135,911.31
  5. Step 5: Solve for x
    x = 135,911.31/307.48
  6. Step 6: Final answer
    x = 442.02

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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.