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Finding the Fourth Proportional to 230.85, 318.85 and 175.50

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Solution

The fourth proportional to 230.85, 318.85 and 175.50 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 318.85 = 175.50 : x
  2. Step 2: Convert to fraction form
    230.85/318.85 = 175.50/x
  3. Step 3: Cross multiply
    230.85x = 318.85 × 175.50
  4. Step 4: Simplify right side
    230.85x = 55,957.74
  5. Step 5: Solve for x
    x = 55,957.74/230.85
  6. Step 6: Final answer
    x = 242.40

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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.