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Finding the Fourth Proportional to 296.90, 410.05 and 235.19

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Solution

The fourth proportional to 296.90, 410.05 and 235.19 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.90 : 410.05 = 235.19 : x
  2. Step 2: Convert to fraction form
    296.90/410.05 = 235.19/x
  3. Step 3: Cross multiply
    296.90x = 410.05 × 235.19
  4. Step 4: Simplify right side
    296.90x = 96,437.35
  5. Step 5: Solve for x
    x = 96,437.35/296.90
  6. Step 6: Final answer
    x = 324.82

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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.