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Finding the Fourth Proportional to 364.14, 502.50 and 233.10

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Solution

The fourth proportional to 364.14, 502.50 and 233.10 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 502.50 = 233.10 : x
  2. Step 2: Convert to fraction form
    364.14/502.50 = 233.10/x
  3. Step 3: Cross multiply
    364.14x = 502.50 × 233.10
  4. Step 4: Simplify right side
    364.14x = 117,132.75
  5. Step 5: Solve for x
    x = 117,132.75/364.14
  6. Step 6: Final answer
    x = 321.67

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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.