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Finding the Fourth Proportional to 296.40, 409.06 and 172.09

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Solution

The fourth proportional to 296.40, 409.06 and 172.09 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 409.06 = 172.09 : x
  2. Step 2: Convert to fraction form
    296.40/409.06 = 172.09/x
  3. Step 3: Cross multiply
    296.40x = 409.06 × 172.09
  4. Step 4: Simplify right side
    296.40x = 70,395.14
  5. Step 5: Solve for x
    x = 70,395.14/296.40
  6. Step 6: Final answer
    x = 237.50

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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.