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Finding the Fourth Proportional to 346.79, 517.14 and 294.55

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Solution

The fourth proportional to 346.79, 517.14 and 294.55 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.79 : 517.14 = 294.55 : x
  2. Step 2: Convert to fraction form
    346.79/517.14 = 294.55/x
  3. Step 3: Cross multiply
    346.79x = 517.14 × 294.55
  4. Step 4: Simplify right side
    346.79x = 152,323.40
  5. Step 5: Solve for x
    x = 152,323.40/346.79
  6. Step 6: Final answer
    x = 439.23

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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.