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Finding the Fourth Proportional to 256.66, 383.02 and 229.32

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Solution

The fourth proportional to 256.66, 383.02 and 229.32 is: 342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.66 : 383.02 = 229.32 : x
  2. Step 2: Convert to fraction form
    256.66/383.02 = 229.32/x
  3. Step 3: Cross multiply
    256.66x = 383.02 × 229.32
  4. Step 4: Simplify right side
    256.66x = 87,833.57
  5. Step 5: Solve for x
    x = 87,833.57/256.66
  6. Step 6: Final answer
    x = 342.22

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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.