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Finding the Fourth Proportional to 341.90, 512.88 and 98.43

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Solution

The fourth proportional to 341.90, 512.88 and 98.43 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.90 : 512.88 = 98.43 : x
  2. Step 2: Convert to fraction form
    341.90/512.88 = 98.43/x
  3. Step 3: Cross multiply
    341.90x = 512.88 × 98.43
  4. Step 4: Simplify right side
    341.90x = 50,482.78
  5. Step 5: Solve for x
    x = 50,482.78/341.90
  6. Step 6: Final answer
    x = 147.66

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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.