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Finding the Fourth Proportional to 387.08, 577.80 and 338.48

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Solution

The fourth proportional to 387.08, 577.80 and 338.48 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 577.80 = 338.48 : x
  2. Step 2: Convert to fraction form
    387.08/577.80 = 338.48/x
  3. Step 3: Cross multiply
    387.08x = 577.80 × 338.48
  4. Step 4: Simplify right side
    387.08x = 195,573.74
  5. Step 5: Solve for x
    x = 195,573.74/387.08
  6. Step 6: Final answer
    x = 505.25

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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.