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Finding the Fourth Proportional to 364.78, 503.61 and 252.91

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Solution

The fourth proportional to 364.78, 503.61 and 252.91 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 503.61 = 252.91 : x
  2. Step 2: Convert to fraction form
    364.78/503.61 = 252.91/x
  3. Step 3: Cross multiply
    364.78x = 503.61 × 252.91
  4. Step 4: Simplify right side
    364.78x = 127,369.81
  5. Step 5: Solve for x
    x = 127,369.81/364.78
  6. Step 6: Final answer
    x = 349.16

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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.