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Finding the Fourth Proportional to 398.07, 547.83 and 388.53

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Solution

The fourth proportional to 398.07, 547.83 and 388.53 is: 534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.07 : 547.83 = 388.53 : x
  2. Step 2: Convert to fraction form
    398.07/547.83 = 388.53/x
  3. Step 3: Cross multiply
    398.07x = 547.83 × 388.53
  4. Step 4: Simplify right side
    398.07x = 212,848.39
  5. Step 5: Solve for x
    x = 212,848.39/398.07
  6. Step 6: Final answer
    x = 534.70

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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.