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Finding the Fourth Proportional to 341.35, 471.53 and 231.30

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Solution

The fourth proportional to 341.35, 471.53 and 231.30 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.35 : 471.53 = 231.30 : x
  2. Step 2: Convert to fraction form
    341.35/471.53 = 231.30/x
  3. Step 3: Cross multiply
    341.35x = 471.53 × 231.30
  4. Step 4: Simplify right side
    341.35x = 109,065.47
  5. Step 5: Solve for x
    x = 109,065.47/341.35
  6. Step 6: Final answer
    x = 319.51

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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.