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Finding the Fourth Proportional to 456.42, 682.98 and 302.10

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Solution

The fourth proportional to 456.42, 682.98 and 302.10 is: 452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 682.98 = 302.10 : x
  2. Step 2: Convert to fraction form
    456.42/682.98 = 302.10/x
  3. Step 3: Cross multiply
    456.42x = 682.98 × 302.10
  4. Step 4: Simplify right side
    456.42x = 206,328.26
  5. Step 5: Solve for x
    x = 206,328.26/456.42
  6. Step 6: Final answer
    x = 452.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.