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Finding the Fourth Proportional to 387.16, 577.20 and 363.94

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Solution

The fourth proportional to 387.16, 577.20 and 363.94 is: 542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 577.20 = 363.94 : x
  2. Step 2: Convert to fraction form
    387.16/577.20 = 363.94/x
  3. Step 3: Cross multiply
    387.16x = 577.20 × 363.94
  4. Step 4: Simplify right side
    387.16x = 210,066.17
  5. Step 5: Solve for x
    x = 210,066.17/387.16
  6. Step 6: Final answer
    x = 542.58

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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.