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Finding the Fourth Proportional to 283.68, 425.64 and 181.08

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Solution

The fourth proportional to 283.68, 425.64 and 181.08 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 425.64 = 181.08 : x
  2. Step 2: Convert to fraction form
    283.68/425.64 = 181.08/x
  3. Step 3: Cross multiply
    283.68x = 425.64 × 181.08
  4. Step 4: Simplify right side
    283.68x = 77,074.89
  5. Step 5: Solve for x
    x = 77,074.89/283.68
  6. Step 6: Final answer
    x = 271.70

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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.