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Finding the Fourth Proportional to 469.30, 647.36 and 282.66

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Solution

The fourth proportional to 469.30, 647.36 and 282.66 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 647.36 = 282.66 : x
  2. Step 2: Convert to fraction form
    469.30/647.36 = 282.66/x
  3. Step 3: Cross multiply
    469.30x = 647.36 × 282.66
  4. Step 4: Simplify right side
    469.30x = 182,982.78
  5. Step 5: Solve for x
    x = 182,982.78/469.30
  6. Step 6: Final answer
    x = 389.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.