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Finding the Fourth Proportional to 456.99, 630.72 and 282.35

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Solution

The fourth proportional to 456.99, 630.72 and 282.35 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.99 : 630.72 = 282.35 : x
  2. Step 2: Convert to fraction form
    456.99/630.72 = 282.35/x
  3. Step 3: Cross multiply
    456.99x = 630.72 × 282.35
  4. Step 4: Simplify right side
    456.99x = 178,083.79
  5. Step 5: Solve for x
    x = 178,083.79/456.99
  6. Step 6: Final answer
    x = 389.69

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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.