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Finding the Fourth Proportional to 384.99, 577.43 and 125.02

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Solution

The fourth proportional to 384.99, 577.43 and 125.02 is: 187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 577.43 = 125.02 : x
  2. Step 2: Convert to fraction form
    384.99/577.43 = 125.02/x
  3. Step 3: Cross multiply
    384.99x = 577.43 × 125.02
  4. Step 4: Simplify right side
    384.99x = 72,190.30
  5. Step 5: Solve for x
    x = 72,190.30/384.99
  6. Step 6: Final answer
    x = 187.51

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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.