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Finding the Fourth Proportional to 377.61, 566.46 and 282.03

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Solution

The fourth proportional to 377.61, 566.46 and 282.03 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.61 : 566.46 = 282.03 : x
  2. Step 2: Convert to fraction form
    377.61/566.46 = 282.03/x
  3. Step 3: Cross multiply
    377.61x = 566.46 × 282.03
  4. Step 4: Simplify right side
    377.61x = 159,758.71
  5. Step 5: Solve for x
    x = 159,758.71/377.61
  6. Step 6: Final answer
    x = 423.08

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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.