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Finding the Fourth Proportional to 365.11, 546.63 and 210.76

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Solution

The fourth proportional to 365.11, 546.63 and 210.76 is: 315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.11 : 546.63 = 210.76 : x
  2. Step 2: Convert to fraction form
    365.11/546.63 = 210.76/x
  3. Step 3: Cross multiply
    365.11x = 546.63 × 210.76
  4. Step 4: Simplify right side
    365.11x = 115,207.74
  5. Step 5: Solve for x
    x = 115,207.74/365.11
  6. Step 6: Final answer
    x = 315.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.