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Finding the Fourth Proportional to 931.84, 1,397.90 and 306.92

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Solution

The fourth proportional to 931.84, 1,397.90 and 306.92 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.84 : 1,397.90 = 306.92 : x
  2. Step 2: Convert to fraction form
    931.84/1,397.90 = 306.92/x
  3. Step 3: Cross multiply
    931.84x = 1,397.90 × 306.92
  4. Step 4: Simplify right side
    931.84x = 429,043.47
  5. Step 5: Solve for x
    x = 429,043.47/931.84
  6. Step 6: Final answer
    x = 460.43

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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.