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Finding the Fourth Proportional to 341.63, 471.64 and 229.76

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Solution

The fourth proportional to 341.63, 471.64 and 229.76 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.63 : 471.64 = 229.76 : x
  2. Step 2: Convert to fraction form
    341.63/471.64 = 229.76/x
  3. Step 3: Cross multiply
    341.63x = 471.64 × 229.76
  4. Step 4: Simplify right side
    341.63x = 108,362.86
  5. Step 5: Solve for x
    x = 108,362.86/341.63
  6. Step 6: Final answer
    x = 317.19

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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.