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Finding the Fourth Proportional to 296.48, 409.50 and 250.01

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Solution

The fourth proportional to 296.48, 409.50 and 250.01 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 409.50 = 250.01 : x
  2. Step 2: Convert to fraction form
    296.48/409.50 = 250.01/x
  3. Step 3: Cross multiply
    296.48x = 409.50 × 250.01
  4. Step 4: Simplify right side
    296.48x = 102,377.05
  5. Step 5: Solve for x
    x = 102,377.05/296.48
  6. Step 6: Final answer
    x = 345.31

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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.