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Finding the Fourth Proportional to 228.24, 340.53 and 211.02

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Solution

The fourth proportional to 228.24, 340.53 and 211.02 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.24 : 340.53 = 211.02 : x
  2. Step 2: Convert to fraction form
    228.24/340.53 = 211.02/x
  3. Step 3: Cross multiply
    228.24x = 340.53 × 211.02
  4. Step 4: Simplify right side
    228.24x = 71,858.64
  5. Step 5: Solve for x
    x = 71,858.64/228.24
  6. Step 6: Final answer
    x = 314.84

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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.