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Finding the Fourth Proportional to 430.36, 644.90 and 198.70

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Solution

The fourth proportional to 430.36, 644.90 and 198.70 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 644.90 = 198.70 : x
  2. Step 2: Convert to fraction form
    430.36/644.90 = 198.70/x
  3. Step 3: Cross multiply
    430.36x = 644.90 × 198.70
  4. Step 4: Simplify right side
    430.36x = 128,140.51
  5. Step 5: Solve for x
    x = 128,140.51/430.36
  6. Step 6: Final answer
    x = 297.75

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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.