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Finding the Fourth Proportional to 347.67, 480.02 and 237.24

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Solution

The fourth proportional to 347.67, 480.02 and 237.24 is: 327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.67 : 480.02 = 237.24 : x
  2. Step 2: Convert to fraction form
    347.67/480.02 = 237.24/x
  3. Step 3: Cross multiply
    347.67x = 480.02 × 237.24
  4. Step 4: Simplify right side
    347.67x = 113,878.76
  5. Step 5: Solve for x
    x = 113,878.76/347.67
  6. Step 6: Final answer
    x = 327.55

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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.