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Finding the Fourth Proportional to 384.53, 577.40 and 341.33

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Solution

The fourth proportional to 384.53, 577.40 and 341.33 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 577.40 = 341.33 : x
  2. Step 2: Convert to fraction form
    384.53/577.40 = 341.33/x
  3. Step 3: Cross multiply
    384.53x = 577.40 × 341.33
  4. Step 4: Simplify right side
    384.53x = 197,083.94
  5. Step 5: Solve for x
    x = 197,083.94/384.53
  6. Step 6: Final answer
    x = 512.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.