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Finding the Fourth Proportional to 456.16, 682.80 and 258.24

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Solution

The fourth proportional to 456.16, 682.80 and 258.24 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 682.80 = 258.24 : x
  2. Step 2: Convert to fraction form
    456.16/682.80 = 258.24/x
  3. Step 3: Cross multiply
    456.16x = 682.80 × 258.24
  4. Step 4: Simplify right side
    456.16x = 176,326.27
  5. Step 5: Solve for x
    x = 176,326.27/456.16
  6. Step 6: Final answer
    x = 386.54

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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.