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Finding the Fourth Proportional to 296.25, 408.80 and 165.24

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Solution

The fourth proportional to 296.25, 408.80 and 165.24 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.25 : 408.80 = 165.24 : x
  2. Step 2: Convert to fraction form
    296.25/408.80 = 165.24/x
  3. Step 3: Cross multiply
    296.25x = 408.80 × 165.24
  4. Step 4: Simplify right side
    296.25x = 67,547.24
  5. Step 5: Solve for x
    x = 67,547.24/296.25
  6. Step 6: Final answer
    x = 228.01

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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.