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Finding the Fourth Proportional to 438.30, 660.47 and 362.96

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Solution

The fourth proportional to 438.30, 660.47 and 362.96 is: 546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 660.47 = 362.96 : x
  2. Step 2: Convert to fraction form
    438.30/660.47 = 362.96/x
  3. Step 3: Cross multiply
    438.30x = 660.47 × 362.96
  4. Step 4: Simplify right side
    438.30x = 239,726.75
  5. Step 5: Solve for x
    x = 239,726.75/438.30
  6. Step 6: Final answer
    x = 546.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.