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Finding the Fourth Proportional to 426.44, 642.35 and 388.17

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Solution

The fourth proportional to 426.44, 642.35 and 388.17 is: 584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 642.35 = 388.17 : x
  2. Step 2: Convert to fraction form
    426.44/642.35 = 388.17/x
  3. Step 3: Cross multiply
    426.44x = 642.35 × 388.17
  4. Step 4: Simplify right side
    426.44x = 249,341.97
  5. Step 5: Solve for x
    x = 249,341.97/426.44
  6. Step 6: Final answer
    x = 584.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.