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Finding the Fourth Proportional to 430.01, 644.48 and 198.58

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Solution

The fourth proportional to 430.01, 644.48 and 198.58 is: 297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.01 : 644.48 = 198.58 : x
  2. Step 2: Convert to fraction form
    430.01/644.48 = 198.58/x
  3. Step 3: Cross multiply
    430.01x = 644.48 × 198.58
  4. Step 4: Simplify right side
    430.01x = 127,979.85
  5. Step 5: Solve for x
    x = 127,979.85/430.01
  6. Step 6: Final answer
    x = 297.62

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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.