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Finding the Fourth Proportional to 386.88, 577.38 and 360.96

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Solution

The fourth proportional to 386.88, 577.38 and 360.96 is: 538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 577.38 = 360.96 : x
  2. Step 2: Convert to fraction form
    386.88/577.38 = 360.96/x
  3. Step 3: Cross multiply
    386.88x = 577.38 × 360.96
  4. Step 4: Simplify right side
    386.88x = 208,411.08
  5. Step 5: Solve for x
    x = 208,411.08/386.88
  6. Step 6: Final answer
    x = 538.70

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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.