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Finding the Fourth Proportional to 364.72, 503.38 and 233.78

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Solution

The fourth proportional to 364.72, 503.38 and 233.78 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 503.38 = 233.78 : x
  2. Step 2: Convert to fraction form
    364.72/503.38 = 233.78/x
  3. Step 3: Cross multiply
    364.72x = 503.38 × 233.78
  4. Step 4: Simplify right side
    364.72x = 117,680.18
  5. Step 5: Solve for x
    x = 117,680.18/364.72
  6. Step 6: Final answer
    x = 322.66

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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.