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Finding the Fourth Proportional to 307.24, 425.82 and 301.48

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Solution

The fourth proportional to 307.24, 425.82 and 301.48 is: 417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 425.82 = 301.48 : x
  2. Step 2: Convert to fraction form
    307.24/425.82 = 301.48/x
  3. Step 3: Cross multiply
    307.24x = 425.82 × 301.48
  4. Step 4: Simplify right side
    307.24x = 128,376.21
  5. Step 5: Solve for x
    x = 128,376.21/307.24
  6. Step 6: Final answer
    x = 417.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.