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Finding the Fourth Proportional to 397.77, 547.72 and 332.16

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Solution

The fourth proportional to 397.77, 547.72 and 332.16 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.77 : 547.72 = 332.16 : x
  2. Step 2: Convert to fraction form
    397.77/547.72 = 332.16/x
  3. Step 3: Cross multiply
    397.77x = 547.72 × 332.16
  4. Step 4: Simplify right side
    397.77x = 181,930.68
  5. Step 5: Solve for x
    x = 181,930.68/397.77
  6. Step 6: Final answer
    x = 457.38

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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.