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Finding the Fourth Proportional to 306.95, 423.63 and 176.00

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Solution

The fourth proportional to 306.95, 423.63 and 176.00 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.95 : 423.63 = 176.00 : x
  2. Step 2: Convert to fraction form
    306.95/423.63 = 176.00/x
  3. Step 3: Cross multiply
    306.95x = 423.63 × 176.00
  4. Step 4: Simplify right side
    306.95x = 74,556.76
  5. Step 5: Solve for x
    x = 74,556.76/306.95
  6. Step 6: Final answer
    x = 242.90

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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.