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Finding the Fourth Proportional to 417.48, 576.01 and 351.35

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Solution

The fourth proportional to 417.48, 576.01 and 351.35 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.48 : 576.01 = 351.35 : x
  2. Step 2: Convert to fraction form
    417.48/576.01 = 351.35/x
  3. Step 3: Cross multiply
    417.48x = 576.01 × 351.35
  4. Step 4: Simplify right side
    417.48x = 202,381.11
  5. Step 5: Solve for x
    x = 202,381.11/417.48
  6. Step 6: Final answer
    x = 484.77

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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.