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Finding the Fourth Proportional to 387.64, 584.26 and 364.06

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Solution

The fourth proportional to 387.64, 584.26 and 364.06 is: 548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.64 : 584.26 = 364.06 : x
  2. Step 2: Convert to fraction form
    387.64/584.26 = 364.06/x
  3. Step 3: Cross multiply
    387.64x = 584.26 × 364.06
  4. Step 4: Simplify right side
    387.64x = 212,705.70
  5. Step 5: Solve for x
    x = 212,705.70/387.64
  6. Step 6: Final answer
    x = 548.72

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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.