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Finding the Fourth Proportional to 398.48, 592.90 and 388.56

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Solution

The fourth proportional to 398.48, 592.90 and 388.56 is: 578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 592.90 = 388.56 : x
  2. Step 2: Convert to fraction form
    398.48/592.90 = 388.56/x
  3. Step 3: Cross multiply
    398.48x = 592.90 × 388.56
  4. Step 4: Simplify right side
    398.48x = 230,377.22
  5. Step 5: Solve for x
    x = 230,377.22/398.48
  6. Step 6: Final answer
    x = 578.14

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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.