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Finding the Fourth Proportional to 230.29, 316.79 and 202.15

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Solution

The fourth proportional to 230.29, 316.79 and 202.15 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.29 : 316.79 = 202.15 : x
  2. Step 2: Convert to fraction form
    230.29/316.79 = 202.15/x
  3. Step 3: Cross multiply
    230.29x = 316.79 × 202.15
  4. Step 4: Simplify right side
    230.29x = 64,037.51
  5. Step 5: Solve for x
    x = 64,037.51/230.29
  6. Step 6: Final answer
    x = 278.08

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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.