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Finding the Fourth Proportional to 365.41, 504.30 and 210.16

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Solution

The fourth proportional to 365.41, 504.30 and 210.16 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 504.30 = 210.16 : x
  2. Step 2: Convert to fraction form
    365.41/504.30 = 210.16/x
  3. Step 3: Cross multiply
    365.41x = 504.30 × 210.16
  4. Step 4: Simplify right side
    365.41x = 105,983.69
  5. Step 5: Solve for x
    x = 105,983.69/365.41
  6. Step 6: Final answer
    x = 290.04

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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.