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Finding the Fourth Proportional to 469.11, 647.51 and 311.83

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Solution

The fourth proportional to 469.11, 647.51 and 311.83 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 647.51 = 311.83 : x
  2. Step 2: Convert to fraction form
    469.11/647.51 = 311.83/x
  3. Step 3: Cross multiply
    469.11x = 647.51 × 311.83
  4. Step 4: Simplify right side
    469.11x = 201,915.26
  5. Step 5: Solve for x
    x = 201,915.26/469.11
  6. Step 6: Final answer
    x = 430.42

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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.