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Finding the Fourth Proportional to 230.02, 316.70 and 194.98

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Solution

The fourth proportional to 230.02, 316.70 and 194.98 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 316.70 = 194.98 : x
  2. Step 2: Convert to fraction form
    230.02/316.70 = 194.98/x
  3. Step 3: Cross multiply
    230.02x = 316.70 × 194.98
  4. Step 4: Simplify right side
    230.02x = 61,748.58
  5. Step 5: Solve for x
    x = 61,748.58/230.02
  6. Step 6: Final answer
    x = 268.45

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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.