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Finding the Fourth Proportional to 228.59, 340.51 and 216.17

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Solution

The fourth proportional to 228.59, 340.51 and 216.17 is: 322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.59 : 340.51 = 216.17 : x
  2. Step 2: Convert to fraction form
    228.59/340.51 = 216.17/x
  3. Step 3: Cross multiply
    228.59x = 340.51 × 216.17
  4. Step 4: Simplify right side
    228.59x = 73,608.05
  5. Step 5: Solve for x
    x = 73,608.05/228.59
  6. Step 6: Final answer
    x = 322.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.