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Finding the Fourth Proportional to 387.38, 577.23 and 368.80

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Solution

The fourth proportional to 387.38, 577.23 and 368.80 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.38 : 577.23 = 368.80 : x
  2. Step 2: Convert to fraction form
    387.38/577.23 = 368.80/x
  3. Step 3: Cross multiply
    387.38x = 577.23 × 368.80
  4. Step 4: Simplify right side
    387.38x = 212,882.42
  5. Step 5: Solve for x
    x = 212,882.42/387.38
  6. Step 6: Final answer
    x = 549.54

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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.