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Finding the Fourth Proportional to 384.82, 577.54 and 153.86

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Solution

The fourth proportional to 384.82, 577.54 and 153.86 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 577.54 = 153.86 : x
  2. Step 2: Convert to fraction form
    384.82/577.54 = 153.86/x
  3. Step 3: Cross multiply
    384.82x = 577.54 × 153.86
  4. Step 4: Simplify right side
    384.82x = 88,860.30
  5. Step 5: Solve for x
    x = 88,860.30/384.82
  6. Step 6: Final answer
    x = 230.91

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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.