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Finding the Fourth Proportional to 365.31, 547.90 and 342.77

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Solution

The fourth proportional to 365.31, 547.90 and 342.77 is: 514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 547.90 = 342.77 : x
  2. Step 2: Convert to fraction form
    365.31/547.90 = 342.77/x
  3. Step 3: Cross multiply
    365.31x = 547.90 × 342.77
  4. Step 4: Simplify right side
    365.31x = 187,800.09
  5. Step 5: Solve for x
    x = 187,800.09/365.31
  6. Step 6: Final answer
    x = 514.08

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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.