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Finding the Fourth Proportional to 346.13, 515.85 and 343.26

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Solution

The fourth proportional to 346.13, 515.85 and 343.26 is: 511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 515.85 = 343.26 : x
  2. Step 2: Convert to fraction form
    346.13/515.85 = 343.26/x
  3. Step 3: Cross multiply
    346.13x = 515.85 × 343.26
  4. Step 4: Simplify right side
    346.13x = 177,070.67
  5. Step 5: Solve for x
    x = 177,070.67/346.13
  6. Step 6: Final answer
    x = 511.58

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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.