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Finding the Fourth Proportional to 307.08, 456.66 and 295.92

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Solution

The fourth proportional to 307.08, 456.66 and 295.92 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 456.66 = 295.92 : x
  2. Step 2: Convert to fraction form
    307.08/456.66 = 295.92/x
  3. Step 3: Cross multiply
    307.08x = 456.66 × 295.92
  4. Step 4: Simplify right side
    307.08x = 135,134.83
  5. Step 5: Solve for x
    x = 135,134.83/307.08
  6. Step 6: Final answer
    x = 440.06

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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.