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Finding the Fourth Proportional to 469.21, 647.54 and 282.70

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Solution

The fourth proportional to 469.21, 647.54 and 282.70 is: 390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.21 : 647.54 = 282.70 : x
  2. Step 2: Convert to fraction form
    469.21/647.54 = 282.70/x
  3. Step 3: Cross multiply
    469.21x = 647.54 × 282.70
  4. Step 4: Simplify right side
    469.21x = 183,059.56
  5. Step 5: Solve for x
    x = 183,059.56/469.21
  6. Step 6: Final answer
    x = 390.14

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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.