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Finding the Fourth Proportional to 440.56, 607.92 and 285.28

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Solution

The fourth proportional to 440.56, 607.92 and 285.28 is: 393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.56 : 607.92 = 285.28 : x
  2. Step 2: Convert to fraction form
    440.56/607.92 = 285.28/x
  3. Step 3: Cross multiply
    440.56x = 607.92 × 285.28
  4. Step 4: Simplify right side
    440.56x = 173,427.42
  5. Step 5: Solve for x
    x = 173,427.42/440.56
  6. Step 6: Final answer
    x = 393.65

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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.