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Finding the Fourth Proportional to 306.94, 423.76 and 228.16

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Solution

The fourth proportional to 306.94, 423.76 and 228.16 is: 315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 423.76 = 228.16 : x
  2. Step 2: Convert to fraction form
    306.94/423.76 = 228.16/x
  3. Step 3: Cross multiply
    306.94x = 423.76 × 228.16
  4. Step 4: Simplify right side
    306.94x = 96,685.25
  5. Step 5: Solve for x
    x = 96,685.25/306.94
  6. Step 6: Final answer
    x = 315.00

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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.