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Finding the Fourth Proportional to 418.53, 577.58 and 234.53

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Solution

The fourth proportional to 418.53, 577.58 and 234.53 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.53 : 577.58 = 234.53 : x
  2. Step 2: Convert to fraction form
    418.53/577.58 = 234.53/x
  3. Step 3: Cross multiply
    418.53x = 577.58 × 234.53
  4. Step 4: Simplify right side
    418.53x = 135,459.84
  5. Step 5: Solve for x
    x = 135,459.84/418.53
  6. Step 6: Final answer
    x = 323.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.