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Finding the Fourth Proportional to 456.01, 680.91 and 362.40

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Solution

The fourth proportional to 456.01, 680.91 and 362.40 is: 541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.01 : 680.91 = 362.40 : x
  2. Step 2: Convert to fraction form
    456.01/680.91 = 362.40/x
  3. Step 3: Cross multiply
    456.01x = 680.91 × 362.40
  4. Step 4: Simplify right side
    456.01x = 246,761.78
  5. Step 5: Solve for x
    x = 246,761.78/456.01
  6. Step 6: Final answer
    x = 541.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.