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Finding the Fourth Proportional to 469.40, 648.35 and 351.91

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Solution

The fourth proportional to 469.40, 648.35 and 351.91 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 648.35 = 351.91 : x
  2. Step 2: Convert to fraction form
    469.40/648.35 = 351.91/x
  3. Step 3: Cross multiply
    469.40x = 648.35 × 351.91
  4. Step 4: Simplify right side
    469.40x = 228,160.11
  5. Step 5: Solve for x
    x = 228,160.11/469.40
  6. Step 6: Final answer
    x = 486.06

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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.