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Finding the Fourth Proportional to 347.94, 521.55 and 165.36

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Solution

The fourth proportional to 347.94, 521.55 and 165.36 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 521.55 = 165.36 : x
  2. Step 2: Convert to fraction form
    347.94/521.55 = 165.36/x
  3. Step 3: Cross multiply
    347.94x = 521.55 × 165.36
  4. Step 4: Simplify right side
    347.94x = 86,243.51
  5. Step 5: Solve for x
    x = 86,243.51/347.94
  6. Step 6: Final answer
    x = 247.87

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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.