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Finding the Fourth Proportional to 471.51, 708.08 and 228.51

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Solution

The fourth proportional to 471.51, 708.08 and 228.51 is: 343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.51 : 708.08 = 228.51 : x
  2. Step 2: Convert to fraction form
    471.51/708.08 = 228.51/x
  3. Step 3: Cross multiply
    471.51x = 708.08 × 228.51
  4. Step 4: Simplify right side
    471.51x = 161,802.22
  5. Step 5: Solve for x
    x = 161,802.22/471.51
  6. Step 6: Final answer
    x = 343.16

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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.