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Finding the Fourth Proportional to 346.93, 517.29 and 340.78

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Solution

The fourth proportional to 346.93, 517.29 and 340.78 is: 508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.93 : 517.29 = 340.78 : x
  2. Step 2: Convert to fraction form
    346.93/517.29 = 340.78/x
  3. Step 3: Cross multiply
    346.93x = 517.29 × 340.78
  4. Step 4: Simplify right side
    346.93x = 176,281.94
  5. Step 5: Solve for x
    x = 176,281.94/346.93
  6. Step 6: Final answer
    x = 508.12

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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.