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Finding the Fourth Proportional to 387.37, 577.13 and 366.31

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Solution

The fourth proportional to 387.37, 577.13 and 366.31 is: 545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.37 : 577.13 = 366.31 : x
  2. Step 2: Convert to fraction form
    387.37/577.13 = 366.31/x
  3. Step 3: Cross multiply
    387.37x = 577.13 × 366.31
  4. Step 4: Simplify right side
    387.37x = 211,408.49
  5. Step 5: Solve for x
    x = 211,408.49/387.37
  6. Step 6: Final answer
    x = 545.75

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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.