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Finding the Fourth Proportional to 387.01, 577.96 and 365.95

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Solution

The fourth proportional to 387.01, 577.96 and 365.95 is: 546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.01 : 577.96 = 365.95 : x
  2. Step 2: Convert to fraction form
    387.01/577.96 = 365.95/x
  3. Step 3: Cross multiply
    387.01x = 577.96 × 365.95
  4. Step 4: Simplify right side
    387.01x = 211,504.46
  5. Step 5: Solve for x
    x = 211,504.46/387.01
  6. Step 6: Final answer
    x = 546.51

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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.