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Finding the Fourth Proportional to 412.90, 570.20 and 282.30

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Solution

The fourth proportional to 412.90, 570.20 and 282.30 is: 389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.90 : 570.20 = 282.30 : x
  2. Step 2: Convert to fraction form
    412.90/570.20 = 282.30/x
  3. Step 3: Cross multiply
    412.90x = 570.20 × 282.30
  4. Step 4: Simplify right side
    412.90x = 160,967.46
  5. Step 5: Solve for x
    x = 160,967.46/412.90
  6. Step 6: Final answer
    x = 389.85

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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.