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Finding the Fourth Proportional to 307.48, 423.78 and 237.52

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Solution

The fourth proportional to 307.48, 423.78 and 237.52 is: 327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.48 : 423.78 = 237.52 : x
  2. Step 2: Convert to fraction form
    307.48/423.78 = 237.52/x
  3. Step 3: Cross multiply
    307.48x = 423.78 × 237.52
  4. Step 4: Simplify right side
    307.48x = 100,656.23
  5. Step 5: Solve for x
    x = 100,656.23/307.48
  6. Step 6: Final answer
    x = 327.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.