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Finding the Fourth Proportional to 397.98, 592.16 and 388.06

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Solution

The fourth proportional to 397.98, 592.16 and 388.06 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 592.16 = 388.06 : x
  2. Step 2: Convert to fraction form
    397.98/592.16 = 388.06/x
  3. Step 3: Cross multiply
    397.98x = 592.16 × 388.06
  4. Step 4: Simplify right side
    397.98x = 229,791.67
  5. Step 5: Solve for x
    x = 229,791.67/397.98
  6. Step 6: Final answer
    x = 577.40

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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.