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Finding the Fourth Proportional to 462.09, 637.88 and 296.40

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Solution

The fourth proportional to 462.09, 637.88 and 296.40 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 637.88 = 296.40 : x
  2. Step 2: Convert to fraction form
    462.09/637.88 = 296.40/x
  3. Step 3: Cross multiply
    462.09x = 637.88 × 296.40
  4. Step 4: Simplify right side
    462.09x = 189,066.15
  5. Step 5: Solve for x
    x = 189,066.15/462.09
  6. Step 6: Final answer
    x = 409.15

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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.