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Finding the Fourth Proportional to 472.40, 707.60 and 228.56

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Solution

The fourth proportional to 472.40, 707.60 and 228.56 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 707.60 = 228.56 : x
  2. Step 2: Convert to fraction form
    472.40/707.60 = 228.56/x
  3. Step 3: Cross multiply
    472.40x = 707.60 × 228.56
  4. Step 4: Simplify right side
    472.40x = 161,729.06
  5. Step 5: Solve for x
    x = 161,729.06/472.40
  6. Step 6: Final answer
    x = 342.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.