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Finding the Fourth Proportional to 434.08, 599.07 and 237.61

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Solution

The fourth proportional to 434.08, 599.07 and 237.61 is: 327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 599.07 = 237.61 : x
  2. Step 2: Convert to fraction form
    434.08/599.07 = 237.61/x
  3. Step 3: Cross multiply
    434.08x = 599.07 × 237.61
  4. Step 4: Simplify right side
    434.08x = 142,344.31
  5. Step 5: Solve for x
    x = 142,344.31/434.08
  6. Step 6: Final answer
    x = 327.92

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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.