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Finding the Fourth Proportional to 406.02, 560.27 and 228.92

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Solution

The fourth proportional to 406.02, 560.27 and 228.92 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.27 = 228.92 : x
  2. Step 2: Convert to fraction form
    406.02/560.27 = 228.92/x
  3. Step 3: Cross multiply
    406.02x = 560.27 × 228.92
  4. Step 4: Simplify right side
    406.02x = 128,257.26
  5. Step 5: Solve for x
    x = 128,257.26/406.02
  6. Step 6: Final answer
    x = 315.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.