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Finding the Fourth Proportional to 387.25, 578.00 and 360.16

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Solution

The fourth proportional to 387.25, 578.00 and 360.16 is: 537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.25 : 578.00 = 360.16 : x
  2. Step 2: Convert to fraction form
    387.25/578.00 = 360.16/x
  3. Step 3: Cross multiply
    387.25x = 578.00 × 360.16
  4. Step 4: Simplify right side
    387.25x = 208,171.94
  5. Step 5: Solve for x
    x = 208,171.94/387.25
  6. Step 6: Final answer
    x = 537.57

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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.