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Finding the Fourth Proportional to 347.02, 517.97 and 318.16

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Solution

The fourth proportional to 347.02, 517.97 and 318.16 is: 474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.02 : 517.97 = 318.16 : x
  2. Step 2: Convert to fraction form
    347.02/517.97 = 318.16/x
  3. Step 3: Cross multiply
    347.02x = 517.97 × 318.16
  4. Step 4: Simplify right side
    347.02x = 164,797.34
  5. Step 5: Solve for x
    x = 164,797.34/347.02
  6. Step 6: Final answer
    x = 474.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.