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Finding the Fourth Proportional to 215.49, 297.70 and 141.98

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Solution

The fourth proportional to 215.49, 297.70 and 141.98 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 297.70 = 141.98 : x
  2. Step 2: Convert to fraction form
    215.49/297.70 = 141.98/x
  3. Step 3: Cross multiply
    215.49x = 297.70 × 141.98
  4. Step 4: Simplify right side
    215.49x = 42,267.45
  5. Step 5: Solve for x
    x = 42,267.45/215.49
  6. Step 6: Final answer
    x = 196.15

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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.