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Finding the Fourth Proportional to 307.18, 458.90 and 219.82

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Solution

The fourth proportional to 307.18, 458.90 and 219.82 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 458.90 = 219.82 : x
  2. Step 2: Convert to fraction form
    307.18/458.90 = 219.82/x
  3. Step 3: Cross multiply
    307.18x = 458.90 × 219.82
  4. Step 4: Simplify right side
    307.18x = 100,875.40
  5. Step 5: Solve for x
    x = 100,875.40/307.18
  6. Step 6: Final answer
    x = 328.39

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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.