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Finding the Fourth Proportional to 347.94, 521.53 and 165.30

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Solution

The fourth proportional to 347.94, 521.53 and 165.30 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 521.53 = 165.30 : x
  2. Step 2: Convert to fraction form
    347.94/521.53 = 165.30/x
  3. Step 3: Cross multiply
    347.94x = 521.53 × 165.30
  4. Step 4: Simplify right side
    347.94x = 86,208.91
  5. Step 5: Solve for x
    x = 86,208.91/347.94
  6. Step 6: Final answer
    x = 247.77

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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.