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Finding the Fourth Proportional to 357.23, 534.86 and 183.52

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Solution

The fourth proportional to 357.23, 534.86 and 183.52 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.23 : 534.86 = 183.52 : x
  2. Step 2: Convert to fraction form
    357.23/534.86 = 183.52/x
  3. Step 3: Cross multiply
    357.23x = 534.86 × 183.52
  4. Step 4: Simplify right side
    357.23x = 98,158.61
  5. Step 5: Solve for x
    x = 98,158.61/357.23
  6. Step 6: Final answer
    x = 274.78

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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.