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Finding the Fourth Proportional to 296.25, 407.86 and 257.42

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Solution

The fourth proportional to 296.25, 407.86 and 257.42 is: 354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.25 : 407.86 = 257.42 : x
  2. Step 2: Convert to fraction form
    296.25/407.86 = 257.42/x
  3. Step 3: Cross multiply
    296.25x = 407.86 × 257.42
  4. Step 4: Simplify right side
    296.25x = 104,991.70
  5. Step 5: Solve for x
    x = 104,991.70/296.25
  6. Step 6: Final answer
    x = 354.40

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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.