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Finding the Fourth Proportional to 345.98, 477.42 and 198.64

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Solution

The fourth proportional to 345.98, 477.42 and 198.64 is: 274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 477.42 = 198.64 : x
  2. Step 2: Convert to fraction form
    345.98/477.42 = 198.64/x
  3. Step 3: Cross multiply
    345.98x = 477.42 × 198.64
  4. Step 4: Simplify right side
    345.98x = 94,834.71
  5. Step 5: Solve for x
    x = 94,834.71/345.98
  6. Step 6: Final answer
    x = 274.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.