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Finding the Fourth Proportional to 365.38, 503.43 and 306.16

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Solution

The fourth proportional to 365.38, 503.43 and 306.16 is: 421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 503.43 = 306.16 : x
  2. Step 2: Convert to fraction form
    365.38/503.43 = 306.16/x
  3. Step 3: Cross multiply
    365.38x = 503.43 × 306.16
  4. Step 4: Simplify right side
    365.38x = 154,130.13
  5. Step 5: Solve for x
    x = 154,130.13/365.38
  6. Step 6: Final answer
    x = 421.84

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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.