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Finding the Fourth Proportional to 462.04, 637.68 and 296.20

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Solution

The fourth proportional to 462.04, 637.68 and 296.20 is: 408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.04 : 637.68 = 296.20 : x
  2. Step 2: Convert to fraction form
    462.04/637.68 = 296.20/x
  3. Step 3: Cross multiply
    462.04x = 637.68 × 296.20
  4. Step 4: Simplify right side
    462.04x = 188,880.82
  5. Step 5: Solve for x
    x = 188,880.82/462.04
  6. Step 6: Final answer
    x = 408.80

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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.