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Finding the Fourth Proportional to 397.77, 547.29 and 388.57

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Solution

The fourth proportional to 397.77, 547.29 and 388.57 is: 534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.77 : 547.29 = 388.57 : x
  2. Step 2: Convert to fraction form
    397.77/547.29 = 388.57/x
  3. Step 3: Cross multiply
    397.77x = 547.29 × 388.57
  4. Step 4: Simplify right side
    397.77x = 212,659.11
  5. Step 5: Solve for x
    x = 212,659.11/397.77
  6. Step 6: Final answer
    x = 534.63

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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.