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Finding the Fourth Proportional to 307.15, 458.46 and 270.70

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Solution

The fourth proportional to 307.15, 458.46 and 270.70 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 458.46 = 270.70 : x
  2. Step 2: Convert to fraction form
    307.15/458.46 = 270.70/x
  3. Step 3: Cross multiply
    307.15x = 458.46 × 270.70
  4. Step 4: Simplify right side
    307.15x = 124,105.12
  5. Step 5: Solve for x
    x = 124,105.12/307.15
  6. Step 6: Final answer
    x = 404.05

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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.