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Finding the Fourth Proportional to 229.16, 318.40 and 228.20

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Solution

The fourth proportional to 229.16, 318.40 and 228.20 is: 317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 318.40 = 228.20 : x
  2. Step 2: Convert to fraction form
    229.16/318.40 = 228.20/x
  3. Step 3: Cross multiply
    229.16x = 318.40 × 228.20
  4. Step 4: Simplify right side
    229.16x = 72,658.88
  5. Step 5: Solve for x
    x = 72,658.88/229.16
  6. Step 6: Final answer
    x = 317.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.