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Finding the Fourth Proportional to 230.95, 315.95 and 230.04

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Solution

The fourth proportional to 230.95, 315.95 and 230.04 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 315.95 = 230.04 : x
  2. Step 2: Convert to fraction form
    230.95/315.95 = 230.04/x
  3. Step 3: Cross multiply
    230.95x = 315.95 × 230.04
  4. Step 4: Simplify right side
    230.95x = 72,681.28
  5. Step 5: Solve for x
    x = 72,681.28/230.95
  6. Step 6: Final answer
    x = 314.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.