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Finding the Fourth Proportional to 319.68, 482.18 and 281.64

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Solution

The fourth proportional to 319.68, 482.18 and 281.64 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 482.18 = 281.64 : x
  2. Step 2: Convert to fraction form
    319.68/482.18 = 281.64/x
  3. Step 3: Cross multiply
    319.68x = 482.18 × 281.64
  4. Step 4: Simplify right side
    319.68x = 135,799.77
  5. Step 5: Solve for x
    x = 135,799.77/319.68
  6. Step 6: Final answer
    x = 424.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.