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Finding the Fourth Proportional to 387.40, 577.73 and 380.20

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Solution

The fourth proportional to 387.40, 577.73 and 380.20 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 577.73 = 380.20 : x
  2. Step 2: Convert to fraction form
    387.40/577.73 = 380.20/x
  3. Step 3: Cross multiply
    387.40x = 577.73 × 380.20
  4. Step 4: Simplify right side
    387.40x = 219,652.95
  5. Step 5: Solve for x
    x = 219,652.95/387.40
  6. Step 6: Final answer
    x = 566.99

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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.