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Finding the Fourth Proportional to 446.80, 670.80 and 285.20

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Solution

The fourth proportional to 446.80, 670.80 and 285.20 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 670.80 = 285.20 : x
  2. Step 2: Convert to fraction form
    446.80/670.80 = 285.20/x
  3. Step 3: Cross multiply
    446.80x = 670.80 × 285.20
  4. Step 4: Simplify right side
    446.80x = 191,312.16
  5. Step 5: Solve for x
    x = 191,312.16/446.80
  6. Step 6: Final answer
    x = 428.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.