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Finding the Fourth Proportional to 384.84, 577.44 and 138.12

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Solution

The fourth proportional to 384.84, 577.44 and 138.12 is: 207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.84 : 577.44 = 138.12 : x
  2. Step 2: Convert to fraction form
    384.84/577.44 = 138.12/x
  3. Step 3: Cross multiply
    384.84x = 577.44 × 138.12
  4. Step 4: Simplify right side
    384.84x = 79,756.01
  5. Step 5: Solve for x
    x = 79,756.01/384.84
  6. Step 6: Final answer
    x = 207.24

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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.