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Finding the Fourth Proportional to 296.86, 409.65 and 172.51

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Solution

The fourth proportional to 296.86, 409.65 and 172.51 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 409.65 = 172.51 : x
  2. Step 2: Convert to fraction form
    296.86/409.65 = 172.51/x
  3. Step 3: Cross multiply
    296.86x = 409.65 × 172.51
  4. Step 4: Simplify right side
    296.86x = 70,667.70
  5. Step 5: Solve for x
    x = 70,667.70/296.86
  6. Step 6: Final answer
    x = 238.05

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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.