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Finding the Fourth Proportional to 307.82, 459.11 and 297.70

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Solution

The fourth proportional to 307.82, 459.11 and 297.70 is: 444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 459.11 = 297.70 : x
  2. Step 2: Convert to fraction form
    307.82/459.11 = 297.70/x
  3. Step 3: Cross multiply
    307.82x = 459.11 × 297.70
  4. Step 4: Simplify right side
    307.82x = 136,676.64
  5. Step 5: Solve for x
    x = 136,676.64/307.82
  6. Step 6: Final answer
    x = 444.01

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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.