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Finding the Fourth Proportional to 397.40, 546.78 and 388.19

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Solution

The fourth proportional to 397.40, 546.78 and 388.19 is: 534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.40 : 546.78 = 388.19 : x
  2. Step 2: Convert to fraction form
    397.40/546.78 = 388.19/x
  3. Step 3: Cross multiply
    397.40x = 546.78 × 388.19
  4. Step 4: Simplify right side
    397.40x = 212,251.79
  5. Step 5: Solve for x
    x = 212,251.79/397.40
  6. Step 6: Final answer
    x = 534.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.