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Finding the Fourth Proportional to 365, 503.76 and 209.72

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Solution

The fourth proportional to 365, 503.76 and 209.72 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 503.76 = 209.72 : x
  2. Step 2: Convert to fraction form
    365/503.76 = 209.72/x
  3. Step 3: Cross multiply
    365x = 503.76 × 209.72
  4. Step 4: Simplify right side
    365x = 105,648.55
  5. Step 5: Solve for x
    x = 105,648.55/365
  6. Step 6: Final answer
    x = 289.45

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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.