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Finding the Fourth Proportional to 436.06, 652.98 and 306.46

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Solution

The fourth proportional to 436.06, 652.98 and 306.46 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.06 : 652.98 = 306.46 : x
  2. Step 2: Convert to fraction form
    436.06/652.98 = 306.46/x
  3. Step 3: Cross multiply
    436.06x = 652.98 × 306.46
  4. Step 4: Simplify right side
    436.06x = 200,112.25
  5. Step 5: Solve for x
    x = 200,112.25/436.06
  6. Step 6: Final answer
    x = 458.91

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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.