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Finding the Fourth Proportional to 346.84, 517.05 and 320.92

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Solution

The fourth proportional to 346.84, 517.05 and 320.92 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 517.05 = 320.92 : x
  2. Step 2: Convert to fraction form
    346.84/517.05 = 320.92/x
  3. Step 3: Cross multiply
    346.84x = 517.05 × 320.92
  4. Step 4: Simplify right side
    346.84x = 165,931.69
  5. Step 5: Solve for x
    x = 165,931.69/346.84
  6. Step 6: Final answer
    x = 478.41

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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.