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Finding the Fourth Proportional to 346.84, 517.57 and 309.88

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Solution

The fourth proportional to 346.84, 517.57 and 309.88 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 517.57 = 309.88 : x
  2. Step 2: Convert to fraction form
    346.84/517.57 = 309.88/x
  3. Step 3: Cross multiply
    346.84x = 517.57 × 309.88
  4. Step 4: Simplify right side
    346.84x = 160,384.59
  5. Step 5: Solve for x
    x = 160,384.59/346.84
  6. Step 6: Final answer
    x = 462.42

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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.