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Finding the Fourth Proportional to 384.93, 577.42 and 141.63

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Solution

The fourth proportional to 384.93, 577.42 and 141.63 is: 212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 577.42 = 141.63 : x
  2. Step 2: Convert to fraction form
    384.93/577.42 = 141.63/x
  3. Step 3: Cross multiply
    384.93x = 577.42 × 141.63
  4. Step 4: Simplify right side
    384.93x = 81,777.11
  5. Step 5: Solve for x
    x = 81,777.11/384.93
  6. Step 6: Final answer
    x = 212.45

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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.