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Finding the Fourth Proportional to 384.71, 577.37 and 141.31

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Solution

The fourth proportional to 384.71, 577.37 and 141.31 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.71 : 577.37 = 141.31 : x
  2. Step 2: Convert to fraction form
    384.71/577.37 = 141.31/x
  3. Step 3: Cross multiply
    384.71x = 577.37 × 141.31
  4. Step 4: Simplify right side
    384.71x = 81,588.15
  5. Step 5: Solve for x
    x = 81,588.15/384.71
  6. Step 6: Final answer
    x = 212.08

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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.