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Finding the Fourth Proportional to 387.34, 577.11 and 362.50

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Solution

The fourth proportional to 387.34, 577.11 and 362.50 is: 540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.34 : 577.11 = 362.50 : x
  2. Step 2: Convert to fraction form
    387.34/577.11 = 362.50/x
  3. Step 3: Cross multiply
    387.34x = 577.11 × 362.50
  4. Step 4: Simplify right side
    387.34x = 209,202.38
  5. Step 5: Solve for x
    x = 209,202.38/387.34
  6. Step 6: Final answer
    x = 540.10

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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.