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Finding the Fourth Proportional to 307.49, 460.18 and 239.15

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Solution

The fourth proportional to 307.49, 460.18 and 239.15 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.49 : 460.18 = 239.15 : x
  2. Step 2: Convert to fraction form
    307.49/460.18 = 239.15/x
  3. Step 3: Cross multiply
    307.49x = 460.18 × 239.15
  4. Step 4: Simplify right side
    307.49x = 110,050.58
  5. Step 5: Solve for x
    x = 110,050.58/307.49
  6. Step 6: Final answer
    x = 357.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.