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Finding the Fourth Proportional to 384.15, 578.31 and 350.13

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Solution

The fourth proportional to 384.15, 578.31 and 350.13 is: 527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 578.31 = 350.13 : x
  2. Step 2: Convert to fraction form
    384.15/578.31 = 350.13/x
  3. Step 3: Cross multiply
    384.15x = 578.31 × 350.13
  4. Step 4: Simplify right side
    384.15x = 202,483.68
  5. Step 5: Solve for x
    x = 202,483.68/384.15
  6. Step 6: Final answer
    x = 527.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.