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Finding the Fourth Proportional to 462.25, 637.70 and 302.75

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Solution

The fourth proportional to 462.25, 637.70 and 302.75 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 637.70 = 302.75 : x
  2. Step 2: Convert to fraction form
    462.25/637.70 = 302.75/x
  3. Step 3: Cross multiply
    462.25x = 637.70 × 302.75
  4. Step 4: Simplify right side
    462.25x = 193,063.68
  5. Step 5: Solve for x
    x = 193,063.68/462.25
  6. Step 6: Final answer
    x = 417.66

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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.