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Finding the Fourth Proportional to 461.79, 637.38 and 296.40

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Solution

The fourth proportional to 461.79, 637.38 and 296.40 is: 409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.79 : 637.38 = 296.40 : x
  2. Step 2: Convert to fraction form
    461.79/637.38 = 296.40/x
  3. Step 3: Cross multiply
    461.79x = 637.38 × 296.40
  4. Step 4: Simplify right side
    461.79x = 188,919.43
  5. Step 5: Solve for x
    x = 188,919.43/461.79
  6. Step 6: Final answer
    x = 409.10

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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.