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Finding the Fourth Proportional to 354.51, 486.34 and 344.91

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Solution

The fourth proportional to 354.51, 486.34 and 344.91 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.51 : 486.34 = 344.91 : x
  2. Step 2: Convert to fraction form
    354.51/486.34 = 344.91/x
  3. Step 3: Cross multiply
    354.51x = 486.34 × 344.91
  4. Step 4: Simplify right side
    354.51x = 167,741.76
  5. Step 5: Solve for x
    x = 167,741.76/354.51
  6. Step 6: Final answer
    x = 473.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.