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Finding the Fourth Proportional to 346.52, 517.23 and 317.66

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Solution

The fourth proportional to 346.52, 517.23 and 317.66 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 517.23 = 317.66 : x
  2. Step 2: Convert to fraction form
    346.52/517.23 = 317.66/x
  3. Step 3: Cross multiply
    346.52x = 517.23 × 317.66
  4. Step 4: Simplify right side
    346.52x = 164,301.69
  5. Step 5: Solve for x
    x = 164,301.69/346.52
  6. Step 6: Final answer
    x = 474.15

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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.