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Finding the Fourth Proportional to 385.53, 577.75 and 222.99

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Solution

The fourth proportional to 385.53, 577.75 and 222.99 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 577.75 = 222.99 : x
  2. Step 2: Convert to fraction form
    385.53/577.75 = 222.99/x
  3. Step 3: Cross multiply
    385.53x = 577.75 × 222.99
  4. Step 4: Simplify right side
    385.53x = 128,832.47
  5. Step 5: Solve for x
    x = 128,832.47/385.53
  6. Step 6: Final answer
    x = 334.17

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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.