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Finding the Fourth Proportional to 387.10, 578.08 and 338.50

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Solution

The fourth proportional to 387.10, 578.08 and 338.50 is: 505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 578.08 = 338.50 : x
  2. Step 2: Convert to fraction form
    387.10/578.08 = 338.50/x
  3. Step 3: Cross multiply
    387.10x = 578.08 × 338.50
  4. Step 4: Simplify right side
    387.10x = 195,680.08
  5. Step 5: Solve for x
    x = 195,680.08/387.10
  6. Step 6: Final answer
    x = 505.50

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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.