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Finding the Fourth Proportional to 346, 518.74 and 140.41

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Solution

The fourth proportional to 346, 518.74 and 140.41 is: 210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 518.74 = 140.41 : x
  2. Step 2: Convert to fraction form
    346/518.74 = 140.41/x
  3. Step 3: Cross multiply
    346x = 518.74 × 140.41
  4. Step 4: Simplify right side
    346x = 72,836.28
  5. Step 5: Solve for x
    x = 72,836.28/346
  6. Step 6: Final answer
    x = 210.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.