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Finding the Fourth Proportional to 364.33, 546.77 and 210.38

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Solution

The fourth proportional to 364.33, 546.77 and 210.38 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.33 : 546.77 = 210.38 : x
  2. Step 2: Convert to fraction form
    364.33/546.77 = 210.38/x
  3. Step 3: Cross multiply
    364.33x = 546.77 × 210.38
  4. Step 4: Simplify right side
    364.33x = 115,031.37
  5. Step 5: Solve for x
    x = 115,031.37/364.33
  6. Step 6: Final answer
    x = 315.74

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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.