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Finding the Fourth Proportional to 296.86, 409.71 and 165.88

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Solution

The fourth proportional to 296.86, 409.71 and 165.88 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 409.71 = 165.88 : x
  2. Step 2: Convert to fraction form
    296.86/409.71 = 165.88/x
  3. Step 3: Cross multiply
    296.86x = 409.71 × 165.88
  4. Step 4: Simplify right side
    296.86x = 67,959.82
  5. Step 5: Solve for x
    x = 67,959.82/296.86
  6. Step 6: Final answer
    x = 228.93

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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.