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Finding the Fourth Proportional to 307.10, 458.51 and 276.38

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Solution

The fourth proportional to 307.10, 458.51 and 276.38 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 458.51 = 276.38 : x
  2. Step 2: Convert to fraction form
    307.10/458.51 = 276.38/x
  3. Step 3: Cross multiply
    307.10x = 458.51 × 276.38
  4. Step 4: Simplify right side
    307.10x = 126,724.83
  5. Step 5: Solve for x
    x = 126,724.83/307.10
  6. Step 6: Final answer
    x = 412.66

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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.